US 42 / US 127 near Beaverlick KY 536 near Rabbit Hash Kentucky Route 338 (KY 338) is a 32.228-mile-long (51.866 km) state highway in Kentucky.

It begins at KY 20 in Northern Boone County.

It goes through Burlington, Kentucky where it intersects with KY 18.

After it leaves Rabbit Hash, it runs by Big Bone Lick State Park before intersecting with U.S. Route 42 (US 42) and US 127 near Union.

It turns left onto US 42 and US 127, and then leaves the concurrency about mile north.