38075920 has 40 divisors (see below), whose sum is σ = 93737304. Its totient is φ = 14333952.

The previous prime is 38075909. The next prime is 38075953. The reversal of 38075920 is 2957083.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 20903184 = 4144^2 + 4572^2 .

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 (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12639 + ... + 15358.

Almost surely, 2^38075920 is an apocalyptic number.

It is an amenable number.

38075920 is an abundant number, since it is smaller than the sum of its proper divisors (55661384).

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

38075920 is a wasteful number, since it uses less digits than its factorization.

38075920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027 (or 28021 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 38075920 is about 6170.5688554622. The cubic root of 38075920 is about 336.4212875041.

The spelling of 38075920 in words is "thirty-eight million, seventy-five thousand, nine hundred twenty".