38922400 has 72 divisors (see below), whose sum is σ = 103680864. Its totient is φ = 14150400.

The previous prime is 38922397. The next prime is 38922419. The reversal of 38922400 is 422983.

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, 6589 + ... + 11011.

It is an arithmetic number, because the mean of its divisors is an integer number (1440012).

Almost surely, 2^38922400 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 38922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840432).

38922400 is an abundant number, since it is smaller than the sum of its proper divisors (64758464).

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

38922400 is a wasteful number, since it uses less digits than its factorization.

38922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 38922400 is about 6238.7819323967. The cubic root of 38922400 is about 338.8960735833.

The spelling of 38922400 in words is "thirty-eight million, nine hundred twenty-two thousand, four hundred".