38700925200 has 900 divisors, whose sum is σ = 170207476560. Its totient is φ = 8373818880.

The previous prime is 38700925157. The next prime is 38700925213. The reversal of 38700925200 is 252900783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×38700925200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 30163759 + ... + 30165041.

Almost surely, 2^38700925200 is an apocalyptic number.

38700925200 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 38700925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85103738280).

38700925200 is an abundant number, since it is smaller than the sum of its proper divisors (131506551360).

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

38700925200 is a wasteful number, since it uses less digits than its factorization.

38700925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 38700925200 in words is "thirty-eight billion, seven hundred million, nine hundred twenty-five thousand, two hundred".