38876800 has 48 divisors (see below), whose sum is σ = 96045750. Its totient is φ = 15549440.

The previous prime is 38876797. The next prime is 38876833. The reversal of 38876800 is 867883.

It can be written as a sum of positive squares in 3 ways, for example, as 37258816 + 1617984 = 6104^2 + 1272^2 .

It is a super-2 number, since 2×38876800² = 3022811156480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2875 + ... + 9274.

Almost surely, 2^38876800 is an apocalyptic number.

It is an amenable number.

38876800 is an abundant number, since it is smaller than the sum of its proper divisors (57168950).

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

38876800 is a wasteful number, since it uses less digits than its factorization.

38876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 38876800 is about 6235.1263018483. The cubic root of 38876800 is about 338.7636759592.

The spelling of 38876800 in words is "thirty-eight million, eight hundred seventy-six thousand, eight hundred".