3104016080256 has 960 divisors, whose sum is σ = 11946341151360. Its totient is φ = 792181555200.

The previous prime is 3104016080203. The next prime is 3104016080273. The reversal of 3104016080256 is 6520806104013.

It is a happy number.

3104016080256 is a `hidden beast` number, since 3 + 1 + 0 + 40 + 1 + 608 + 0 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3104016080256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204729316 + ... + 204744476.

It is an arithmetic number, because the mean of its divisors is an integer number (12444105366).

Almost surely, 2^{3104016080256} is an apocalyptic number.

3104016080256 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 3104016080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973170575680).

3104016080256 is an abundant number, since it is smaller than the sum of its proper divisors (8842325071104).

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

3104016080256 is a wasteful number, since it uses less digits than its factorization.

3104016080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15245 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3104016080256 in words is "three trillion, one hundred four billion, sixteen million, eighty thousand, two hundred fifty-six".