38640800 has 72 divisors (see below), whose sum is σ = 102930912. Its totient is φ = 14048000.

The previous prime is 38640799. The next prime is 38640821. The reversal of 38640800 is 804683.

It is a super-2 number, since 2×38640800² = 2986222849280000, which contains 22 as substring.

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, 6605 + ... + 10995.

It is an arithmetic number, because the mean of its divisors is an integer number (1429596).

Almost surely, 2^38640800 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 38640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51465456).

38640800 is an abundant number, since it is smaller than the sum of its proper divisors (64290112).

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

38640800 is a wasteful number, since it uses less digits than its factorization.

38640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38640800 is about 6216.1724557802. The cubic root of 38640800 is about 338.0768005866.

The spelling of 38640800 in words is "thirty-eight million, six hundred forty thousand, eight hundred".