38912800 has 72 divisors (see below), whose sum is σ = 95993856. Its totient is φ = 15402240.

The previous prime is 38912791. The next prime is 38912821. The reversal of 38912800 is 821983.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 101409 + ... + 101791.

It is an arithmetic number, because the mean of its divisors is an integer number (1333248).

Almost surely, 2^38912800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996928).

38912800 is an abundant number, since it is smaller than the sum of its proper divisors (57081056).

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

38912800 is a wasteful number, since it uses less digits than its factorization.

38912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 38912800 is about 6238.0125039952. The cubic root of 38912800 is about 338.8682089962.

The spelling of 38912800 in words is "thirty-eight million, nine hundred twelve thousand, eight hundred".