A sphere with three handles (and three holes), i.e., a genus-3 torus.
Triple Torus
See also
Double Torus, Handle, TorusExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Triple Torus." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TripleTorus.html