A woman was beaten and nearly raped in Brooklyn by the driver of a car she got into after mistaking it for a livery cab, police said Sunday.

The 39-year-old victim climbed into the car near the corner of Fulton and Logan streets in Cypress Hills around 5 a.m. Aug. 6, thinking that it was a for-hire vehicle, cops said.

The driver abruptly turned into the parking lot of a Wendy’s at Logan Street and Atlantic Avenue, climbed into the back seat with the woman and pulled out a gun, authorities said.

The thug then pistol-whipped the woman several times, and tried to force himself on her, according to police.

When the woman fought back, the attacker gave up, got back behind the wheel, drove to a location the woman didn’t recognize, and kicked her out of the car, cops said.

The victim made her way to Jamaica Hospital in Queens, where she was treated for pain and bruises to her face and torso.

The suspect, described as a man in his 20s with a thin build, wore a baseball cap, white T-shirt and jeans.