diff --git a/stubs/python-crontab/METADATA.toml b/stubs/python-crontab/METADATA.toml
index 6a47d346981a..292eef4021f2 100644
--- a/stubs/python-crontab/METADATA.toml
+++ b/stubs/python-crontab/METADATA.toml
@@ -1,3 +1,3 @@
-version = "3.3.*"
+version = "3.4.*"
 upstream-repository = "https://gitlab.com/doctormo/python-crontab"
 dependencies = ["types-croniter"]
diff --git a/stubs/python-crontab/crontab.pyi b/stubs/python-crontab/crontab.pyi
index 2bd4d755e389..5e22b4dea803 100644
--- a/stubs/python-crontab/crontab.pyi
+++ b/stubs/python-crontab/crontab.pyi
@@ -35,7 +35,7 @@ SPECREX: Final[re.Pattern[str]]
 DEVNULL: Final[str]
 WEEK_ENUM: Final[list[str]]
 MONTH_ENUM: Final[list[str | None]]
-SPECIALS_CONVERSION: Final[bool]
+SPECIALS_CONVERSION: bool | None
 SPECIALS: Final[dict[str, str]]
 SPECIAL_IGNORE: Final[list[str]]
 S_INFO: Final[list[dict[str, str | int | list[str] | list[str | None]]]]
@@ -96,7 +96,8 @@ class CronTab:
     # Usually `kwargs` are just `now: datetime | None`, but technically this can
     # work for `CronItem` subclasses, which might define other kwargs.
     def run_pending(self, *, now: datetime | None = None, **kwargs: Any) -> Iterator[str]: ...
-    def run_scheduler(self, timeout: int = -1, cadence: int = 60, warp: bool = False) -> Iterator[str]: ...
+    def run_scheduler(self, timeout: int = -1, cadence: int | float = 60, warp: bool = False) -> Iterator[str]: ...
+    async def run_scheduler_async(self, timeout: int = -1, cadence: int | float = 60, warp: bool = False) -> Iterator[str]: ...
     def render(self, errors: bool = False) -> str: ...
     def new(
         self,
@@ -279,15 +280,16 @@ class CronSlice:
     def parse(self, value: str | None) -> None: ...
     def render(self, resolve: bool = False) -> str: ...
     def __eq__(self, arg: object) -> bool: ...
-    def every(self, n_value: int, also: bool = False) -> _Part: ...
+    def every(self, n_value: int, also: bool = False, random: bool = False) -> _Part: ...
     # The only known kwarg, others are unused,
     # `*args`` are passed to `parse_value`, so they are `Any`
     def on(self, *n_value: Any, also: bool = False) -> list[_Part]: ...
-    def during(self, vfrom: int | str, vto: int | str, also: bool = False) -> _Part: ...
+    def during(self, vfrom: int | str, vto: int | str, also: bool = False, random: bool = False) -> _Part: ...
+    def random_during(self, vfrom: int | str, vto: int | str) -> _Part: ...
     @property
     def also(self) -> Also: ...
     def clear(self) -> None: ...
-    def get_range(self, *vrange: int | str | CronValue) -> list[int | CronRange]: ...
+    def get_range(self, *vrange: int | str | CronValue, random: bool = False) -> list[int | CronRange]: ...
     def __iter__(self) -> Iterator[int]: ...
     def __len__(self) -> int: ...
     def parse_value(self, val: str, sunday: int | None = None) -> int | CronValue: ...
@@ -307,7 +309,8 @@ class CronRange:
     slice: str
     cron: CronTab | None
     seq: int
-    def __init__(self, vslice: str, *vrange: int | str | CronValue) -> None: ...
+    is_random_range: bool
+    def __init__(self, vslice: str, *vrange: int | str | CronValue, random: bool = False) -> None: ...
     # Are not set in `__init__`:
     vfrom: int | CronValue
     vto: int | CronValue