38906208 has 72 divisors (see below), whose sum is σ = 120707496. Its totient is φ = 11788800.

The previous prime is 38906123. The next prime is 38906249. The reversal of 38906208 is 80260983.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2973 + ... + 9308.

It is an arithmetic number, because the mean of its divisors is an integer number (1676493).

Almost surely, 2^38906208 is an apocalyptic number.

It is an amenable number.

38906208 is an abundant number, since it is smaller than the sum of its proper divisors (81801288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38906208 is a wasteful number, since it uses less digits than its factorization.

38906208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38906208 is about 6237.4841081962. The cubic root of 38906208 is about 338.8490726590.

The spelling of 38906208 in words is "thirty-eight million, nine hundred six thousand, two hundred eight".