It is called sunga... Brazilian baiting suit looks like what ufc fighters wear
This.
People in america call it a speedo, but it's kind of different (one for pool and performance, other for beach and style).
There are two longer versions of sunga (they cover a bit of your thigh) and a shorter one called slim. I prefere the last.
Some popular brands in Brazil:
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liquido
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track and field
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bannana (geared more towards the homo crowd, but still managable)
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blueman
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agua de coco
Sadly men's beach wear has been on a boring trend for a while now.
Really hard to find good stuff.
P.S. as always, avoid white pieces because they tend to show too much when you put them in the water