Bhutan is about 39 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Bhutan is approximately 38,394 sq km, making Bhutan 2.59% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (157,544 more people live in Bhutan).
Tip: This to-scale comparison of Alaska vs. Bhutan uses the Mercator projection, which distorts the size of regions near the poles.