3116858434560 has 1056 divisors, whose sum is σ = 12180834836352. Its totient is φ = 759634329600.

The previous prime is 3116858434511. The next prime is 3116858434579. The reversal of 3116858434560 is 654348586113.

It is a happy number.

3116858434560 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 8 + 584 + 3 + 4 + 56 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3116858434497 and 3116858434506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1730625660 + ... + 1730627460.

Almost surely, 2^{3116858434560} is an apocalyptic number.

3116858434560 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 3116858434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090417418176).

3116858434560 is an abundant number, since it is smaller than the sum of its proper divisors (9063976401792).

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

3116858434560 is a wasteful number, since it uses less digits than its factorization.

3116858434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3116858434560 in words is "three trillion, one hundred sixteen billion, eight hundred fifty-eight million, four hundred thirty-four thousand, five hundred sixty".