The lights are on
It doesn't necessarily correlate to copies sold or shipped, but THQ's president Jason Rubin tweeted that 5.5 million people have played Saint's Row: The Third.
Rubin calls the game, "the hit nobody realized was a hit!" And those numbers apparently represent Saint's Row's popularity before the recent Humble THQ Bundle sale that offered the game at a discounted price.
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I played it recently, including Saints Row 2 (as I have bought a bundle) and fully enjoyed both games.
Saints Row 2 & 3 are very good games, albeit short, but I had a laugh many times and recommend these games to anyone with a sense of humor.