38064400 has 120 divisors (see below), whose sum is σ = 102680928. Its totient is φ = 13440000.

The previous prime is 38064361. The next prime is 38064419. The reversal of 38064400 is 446083.

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

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, 180295 + ... + 180505.

Almost surely, 2^38064400 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 38064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51340464).

38064400 is an abundant number, since it is smaller than the sum of its proper divisors (64616528).

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

38064400 is a wasteful number, since it uses less digits than its factorization.

38064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

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

The square root of 38064400 is about 6169.6353214757. The cubic root of 38064400 is about 336.3873556109.

The spelling of 38064400 in words is "thirty-eight million, sixty-four thousand, four hundred".