3116295936 has 288 divisors, whose sum is σ = 10072832000. Its totient is φ = 944566272.

The previous prime is 3116295913. The next prime is 3116295971. The reversal of 3116295936 is 6395926113.

3116295936 is a `hidden beast` number, since 3 + 11 + 629 + 5 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3116295936² = 19422600721460232192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3116295891 and 3116295900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7098405 + ... + 7098843.

Almost surely, 2^3116295936 is an apocalyptic number.

3116295936 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 3116295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036416000).

3116295936 is an abundant number, since it is smaller than the sum of its proper divisors (6956536064).

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

3116295936 is a wasteful number, since it uses less digits than its factorization.

3116295936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 536 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 3116295936 is about 55823.7936367639. The cubic root of 3116295936 is about 1460.6502289159.

The spelling of 3116295936 in words is "three billion, one hundred sixteen million, two hundred ninety-five thousand, nine hundred thirty-six".