Britney Spears is hoping “3” is her new lucky number. After teasing us with snippets and set photos over the past few weeks, the pop princess unveiled the official music video for her raunchy hit single “3″ on Friday morning.

The song, which BritneySpears.com describes as a “racy paean to the joys of three-way sex,” is part of Britney’s latest Greatest Hits compilation, The Singles Collection, available Nov. 24.