I was actually going to ask if you really are sure that its 3.4kW (or needs to be treated as 3.4kW - see below). If it were made for, or even with consideration of, the UK market, that would seem rather odd - being theoretically just fractionally too much for a 13A plug/fuse. If the 3.4kW relates to 240V, then that would equate to roughly 13.6A at 230V.Ok, done some research today. Karcher who make the machine, supply it with a 13A plug as standard.
As I said before, assuming that it's thermostatically controlled, there's the possible invocation of 'diversity' ('over-time diversity'). If it were a 3.4kW (at 240V) cooking appliance, then OSG guidance would make the after-diversity current (at 240V) about 12.5A. At 230V (which is the figure we are meant to use for calculations), the after-diversity current would (assuming 3.4kW at 240V) be only about 11.1A.
Kind Regards, John