38920400 has 30 divisors (see below), whose sum is σ = 93507222. Its totient is φ = 15568000.

The previous prime is 38920397. The next prime is 38920403. The reversal of 38920400 is 402983.

It is an interprime number because it is at equal distance from previous prime (38920397) and next prime (38920403).

It can be written as a sum of positive squares in 3 ways, for example, as 529984 + 38390416 = 728^2 + 6196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38920400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38920403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48251 + ... + 49050.

Almost surely, 2^38920400 is an apocalyptic number.

It is an amenable number.

38920400 is an abundant number, since it is smaller than the sum of its proper divisors (54586822).

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

38920400 is a wasteful number, since it uses less digits than its factorization.

38920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97319 (or 97308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 38920400 is about 6238.6216426387. The cubic root of 38920400 is about 338.8902688389.

The spelling of 38920400 in words is "thirty-eight million, nine hundred twenty thousand, four hundred".