38604400 has 60 divisors (see below), whose sum is σ = 93747472. Its totient is φ = 15275520.

The previous prime is 38604389. The next prime is 38604413. The reversal of 38604400 is 440683.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 40732 + ... + 41668.

Almost surely, 2^38604400 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 38604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46873736).

38604400 is an abundant number, since it is smaller than the sum of its proper divisors (55143072).

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

38604400 is a wasteful number, since it uses less digits than its factorization.

38604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 38604400 is about 6213.2439192422. The cubic root of 38604400 is about 337.9706100515.

The spelling of 38604400 in words is "thirty-eight million, six hundred four thousand, four hundred".