Will this power a refrigerator or chest freezer? Looks from the specs like it will, but confirming w personal experiences?

Yes — the FIRMAN P03628 can power most refrigerators and chest freezers. With 3,650 running watts and higher starting (surge) capacity, it has enough output to handle the brief startup spike that compressors need, which is typically much higher than their normal running draw. Most household fridges or freezers fall well within this range, and many customers successfully run one (and often more than one) as long as the total load stays within the generator’s rated capacity.