38572800 has 324 divisors, whose sum is σ = 151693416. Its totient is φ = 8601600.

The previous prime is 38572789. The next prime is 38572829. The reversal of 38572800 is 827583.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940780 + ... + 940820.

Almost surely, 2^38572800 is an apocalyptic number.

38572800 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 38572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75846708).

38572800 is an abundant number, since it is smaller than the sum of its proper divisors (113120616).

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

38572800 is a wasteful number, since it uses less digits than its factorization.

38572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 38572800 is about 6210.7004435893. The cubic root of 38572800 is about 337.8783685225.

The spelling of 38572800 in words is "thirty-eight million, five hundred seventy-two thousand, eight hundred".