That's not a professional range. That's a prostyle consumer range. That might sound like nitpicking, but it's an important distinction. Rarely, but every so often, we hear of people installing actually commercial ranges in their residential kitchens. These ranges have subtly different dimensions, have specific requirements for insulation and fire suppression, and make proper venting more difficult. So, when you ask about dimensions, that's what springs to mind.

Turns out, you are talking about a regular residential stove that has been styled to look like a commercial model. Much easier. It is intended to be installed in a normal kitchen. There wouldn't be any issue with the depth of your cabinets. The standard cabinet depth is 24", and then there usually is about a 1" overhang for the counters.

That leaves you with 3" for the handle and for the oven door (which must be forward of adjacent cabinets to avoid scorching). All of that is reasonable.

Of course, your much bigger problem is that 38" is already really tight. No matter how you look at it, that's never going to be ideal. If you had the space for wall ovens, that might be a better option. You could then convert from a range to a gas rangetop or maybe even an induction cooktop. That's likely going to be a little more space efficient (still not ideal, but every little bit helps).

Also, the range that you looked at isn't going to work in this configuration. If I read this correctly, you must install a 12" tall backguard when pushing it all the way against the wall. Factor that into your cost and into your design decisions. If you don't have the backguard, you will damage your backsplash and potentially cause a fire. The configuration that is shown on the website is intended for installation in an island, where there is no backsplash behind the range.

Finally, I personally wouldn't go with dual-fuel, nor would I spend this much money on a Chinese range. I'd much prefer buying a Bluestar range with open burner. It's a very uncompromising design that is optimized for great performance. But that's a discussion for a different day.