Brittany Renner just opened up about her sex life to Shannon Sharpe in a big way ... revealing she's slept with 35 men -- a number that stunned the Pro Football Hall of Famer so much, he had to take a big swig of booze.
The "Basketball Wives" star made the remark while chatting with Sharpe on his "Club Shay Shay" podcast about Derek Jeter's dating life.
Renner said to Sharpe her roster of partners was very comparable to the Yankees legend's ... and then she told the former Denver Broncos star her body count.