3116268288 has 270 divisors, whose sum is σ = 10812757956. Its totient is φ = 890072064.

The previous prime is 3116268251. The next prime is 3116268301. The reversal of 3116268288 is 8828626113.

3116268288 is a `hidden beast` number, since 3 + 11 + 626 + 8 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×3116268288² = 19422256085588901888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 29 ways as a sum of consecutive naturals, for example, 1014531 + ... + 1017597.

Almost surely, 2^3116268288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406378978).

3116268288 is an abundant number, since it is smaller than the sum of its proper divisors (7696489668).

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

3116268288 is an equidigital number, since it uses as much as digits as its factorization.

3116268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3079 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 3116268288 is about 55823.5459998736. The cubic root of 3116268288 is about 1460.6459092388.

The spelling of 3116268288 in words is "three billion, one hundred sixteen million, two hundred sixty-eight thousand, two hundred eighty-eight".