390038080710096 has 480 divisors, whose sum is σ = 1349958936598272. Its totient is φ = 102370500034560.

The previous prime is 390038080710079. The next prime is 390038080710143. The reversal of 390038080710096 is 690017080830093.

390038080710096 is a `hidden beast` number, since 3 + 90 + 0 + 380 + 80 + 7 + 10 + 0 + 96 = 666.

It is a super-2 number, since 2×390038080710096² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4714948191 + ... + 4715030913.

Almost surely, 2^{390038080710096} is an apocalyptic number.

390038080710096 is a gapful number since it is divisible by the number (36) 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 390038080710096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674979468299136).

390038080710096 is an abundant number, since it is smaller than the sum of its proper divisors (959920855888176).

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

390038080710096 is a wasteful number, since it uses less digits than its factorization.

390038080710096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84491 (or 84482 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 390038080710096 in words is "three hundred ninety trillion, thirty-eight billion, eighty million, seven hundred ten thousand, ninety-six".