Sure, but over in 230V-land 3500W hot plates are completely standard, and can plug into any regular wall socket. Same with microwaves and hot-air ovens: just put it anywhere on your kitchen countertop and plug it into the nearest socket.

We do also have a "kitchen plug" for high-powered appliances. Those go up to 7.3kW in their regular dual-single-phase 16A version, 11kW when wired with three phases (quite common in households these days), or even 17kW with the (understandably) rarely-used 25A plug variant with three-phase wiring.

And that's not even commercial equipment, just what you'd pick up at your local Best Buy equivalent. The commercial stuff uses CeeForm, which is a three-phase 16A/32A/63A/125A plug. Or it's getting hard-wired.