38564800 has 42 divisors (see below), whose sum is σ = 94897448. Its totient is φ = 15425280.

The previous prime is 38564797. The next prime is 38564821. The reversal of 38564800 is 846583.

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 5 ways as a sum of consecutive naturals, for example, 10452 + ... + 13651.

Almost surely, 2^38564800 is an apocalyptic number.

It is an amenable number.

38564800 is an abundant number, since it is smaller than the sum of its proper divisors (56332648).

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

38564800 is a wasteful number, since it uses less digits than its factorization.

38564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24125 (or 24110 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 38564800 is about 6210.0563604528. The cubic root of 38564800 is about 337.8550082459.

The spelling of 38564800 in words is "thirty-eight million, five hundred sixty-four thousand, eight hundred".