3113167977360 has 1600 divisors, whose sum is σ = 13380775575552. Its totient is φ = 654730739712.

The previous prime is 3113167977349. The next prime is 3113167977379. The reversal of 3113167977360 is 637797613113.

3113167977360 is a `hidden beast` number, since 3 + 1 + 131 + 67 + 97 + 7 + 360 = 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 = 3113167977297 and 3113167977306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8128375729 + ... + 8128376111.

Almost surely, 2^{3113167977360} is an apocalyptic number.

3113167977360 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 3113167977360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690387787776).

3113167977360 is an abundant number, since it is smaller than the sum of its proper divisors (10267607598192).

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

3113167977360 is a wasteful number, since it uses less digits than its factorization.

3113167977360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 3113167977360 in words is "three trillion, one hundred thirteen billion, one hundred sixty-seven million, nine hundred seventy-seven thousand, three hundred sixty".