Alaska is about 39 times bigger than Bhutan.

Bhutan is approximately 38,394 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 3,758% larger than Bhutan. Meanwhile, the population of Bhutan is ~867,775 people (157,544 fewer people live in Alaska).
Tip: This to-scale comparison of Bhutan vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.