38080296276120 has 320 divisors, whose sum is σ = 146684180966400. Its totient is φ = 8679820550400.

The previous prime is 38080296276103. The next prime is 38080296276131. The reversal of 38080296276120 is 2167269208083.

38080296276120 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 0 + 2 + 9 + 627 + 6 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5803645 + ... + 10480595.

It is an arithmetic number, because the mean of its divisors is an integer number (458388065520).

Almost surely, 2^{38080296276120} is an apocalyptic number.

38080296276120 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 38080296276120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73342090483200).

38080296276120 is an abundant number, since it is smaller than the sum of its proper divisors (108603884690280).

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

38080296276120 is a wasteful number, since it uses less digits than its factorization.

38080296276120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677340 (or 4677327 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 38080296276120 in words is "thirty-eight trillion, eighty billion, two hundred ninety-six million, two hundred seventy-six thousand, one hundred twenty".