38880957938130 has 512 divisors, whose sum is σ = 136198831104000. Its totient is φ = 7646698183680.

The previous prime is 38880957938099. The next prime is 38880957938159. The reversal of 38880957938130 is 3183975908883.

38880957938130 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 0 + 9 + 579 + 38 + 13 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 422219652 + ... + 422311728.

It is an arithmetic number, because the mean of its divisors is an integer number (266013342000).

Almost surely, 2^{38880957938130} is an apocalyptic number.

38880957938130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38880957938130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68099415552000).

38880957938130 is an abundant number, since it is smaller than the sum of its proper divisors (97317873165870).

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

38880957938130 is a wasteful number, since it uses less digits than its factorization.

38880957938130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93199 (or 93193 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 38880957938130 in words is "thirty-eight trillion, eight hundred eighty billion, nine hundred fifty-seven million, nine hundred thirty-eight thousand, one hundred thirty".