[Ekaros]

There is also good to remember that these units at least higher powered are designed for 3-phase 400V that is 3 230V phases. Which I have understood isn't very common or easily available in households in some places around the world.

[namibj]

I haven't seen a stove yet in Germany (residential at least) that can't cope with all the phase inputs tied to the same phase.

They are just 3-phase because the utility demands 10+ kW loads to be 3-phase loads, and they often exceed that slightly. Check out the install guide on e.g. some IKEA built-in models, specifically regarding the wiring instructions.

And US residential does have 240V single-phase available.