38667920 has 40 divisors (see below), whose sum is σ = 92103480. Its totient is φ = 15088640.

The previous prime is 38667917. The next prime is 38667931. The reversal of 38667920 is 2976683.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 35952016 = 1648^2 + 5996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615 + ... + 9174.

It is an arithmetic number, because the mean of its divisors is an integer number (2302587).

Almost surely, 2^38667920 is an apocalyptic number.

It is an amenable number.

38667920 is an abundant number, since it is smaller than the sum of its proper divisors (53435560).

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

38667920 is a wasteful number, since it uses less digits than its factorization.

38667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 38667920 is about 6218.3534798208. The cubic root of 38667920 is about 338.1558750249.

The spelling of 38667920 in words is "thirty-eight million, six hundred sixty-seven thousand, nine hundred twenty".