I haven't done a survey, but I'd hazard to say that there's approximately an equal number of cases of men with multiple female partners as there are women with multiple male partners on this board. And, of course, there are other other combinations, like a woman with both and a male and a female partner (like me!) or a man with both a male and a female partner (seems to be less common), or all-same-sex situations. Within the poly community at least, there doesn't seem to be any prejudice in this regard. Women with multiple partners actually may be more common, since women seem to often have an easier time dating and making connections overall.
As for what society thinks, society isn't on board with poly in any configuration. Definitely still taboo and out there. Whether you're male or female, a person with multiple partners may be seen as cheating, or unhealthy, or selfish. Men *might* have it easier, as they're less likely to be labeled as "sluts"?
Me, 30ish bi female, been doing solo poly for roughly 5 years. Gia, Clay, and Pike, my partners. Davis, ex/friend/"it's complicated." Eric, Gia's husband. Bee, Gia and Eric's toddler.