38400900 has 72 divisors (see below), whose sum is σ = 116971680. Its totient is φ = 9699840.

The previous prime is 38400899. The next prime is 38400941. The reversal of 38400900 is 900483.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332 + ... + 9068.

Almost surely, 2^38400900 is an apocalyptic number.

38400900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38400900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58485840).

38400900 is an abundant number, since it is smaller than the sum of its proper divisors (78570780).

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

38400900 is a wasteful number, since it uses less digits than its factorization.

38400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38400900 is about 6196.8459719441. The cubic root of 38400900 is about 337.3757018272.

The spelling of 38400900 in words is "thirty-eight million, four hundred thousand, nine hundred".