38080627200 has 1680 divisors, whose sum is σ = 179689409856. Its totient is φ = 7763558400.

The previous prime is 38080627187. The next prime is 38080627201. The reversal of 38080627200 is 272608083.

It is a happy number.

38080627200 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 0 + 627 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38080627201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 718502374 + ... + 718502426.

Almost surely, 2^38080627200 is an apocalyptic number.

38080627200 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 38080627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89844704928).

38080627200 is an abundant number, since it is smaller than the sum of its proper divisors (141608782656).

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

38080627200 is an equidigital number, since it uses as much as digits as its factorization.

38080627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38080627200 in words is "thirty-eight billion, eighty million, six hundred twenty-seven thousand, two hundred".