38416800 has 72 divisors (see below), whose sum is σ = 125054496. Its totient is φ = 10243840.

The previous prime is 38416789. The next prime is 38416823. The reversal of 38416800 is 861483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5604 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (1736868).

Almost surely, 2^38416800 is an apocalyptic number.

38416800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38416800 is an abundant number, since it is smaller than the sum of its proper divisors (86637696).

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

38416800 is a wasteful number, since it uses less digits than its factorization.

38416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16030 (or 16017 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38416800 is about 6198.1287498728. The cubic root of 38416800 is about 337.4222591862.

The spelling of 38416800 in words is "thirty-eight million, four hundred sixteen thousand, eight hundred".