Righty ho.
I guess what I was thinking was that although the current in each phase would be 13 amps, because they never coincide you wouldn't simply add them up when considering a single phase equivalent, i.e. that the 3-phase power calculation would be 400 x 13 = 5200, not √3 x 400 x 13.
So if the OP's oven does take anything approaching 32A per phase it makes it even more odd - I just googled for commercial smoking ovens, and the first link I looked at was an Australian company, and they have a 21kW model.
It's 1.2m wide and deep, 2.4m tall, and takes 380kg of meat. I imagine all others of that sort of power will be similar.
[lloyd-grossman-accent]Who would buy something like that to use in a rented house?[/lloyd-grossman-accent]
A? - nobody. It can't be a 22kW oven, or anything near. It may not even be 3-phase - it's possible it was somewhere where only 32A 3P+N 60309 sockets were available so someone just stuck a plug on it.
As plugwash says, we need the details of make/model/rating plate info etc.
Another Q leighv - how does it make its smoke? Do you also need to connect it to a flue so you don't die from carbon monoxide poisoning?