3116117520 has 320 divisors, whose sum is σ = 11184998400. Its totient is φ = 796538880.

The previous prime is 3116117519. The next prime is 3116117581. The reversal of 3116117520 is 257116113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11583946 + ... + 11584214.

It is an arithmetic number, because the mean of its divisors is an integer number (34953120).

Almost surely, 2^3116117520 is an apocalyptic number.

3116117520 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 3116117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592499200).

3116117520 is an abundant number, since it is smaller than the sum of its proper divisors (8068880880).

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

3116117520 is a wasteful number, since it uses less digits than its factorization.

3116117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 3116117520 is about 55822.1955856270. The cubic root of 3116117520 is about 1460.6223530498.

The spelling of 3116117520 in words is "three billion, one hundred sixteen million, one hundred seventeen thousand, five hundred twenty".