3116457216 has 108 divisors (see below), whose sum is σ = 9458569120. Its totient is φ = 984130560.

The previous prime is 3116457199. The next prime is 3116457233. The reversal of 3116457216 is 6127546113.

3116457216 is a `hidden beast` number, since 3 + 1 + 1 + 645 + 7 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3116457199) and next prime (3116457233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8181 + ... + 79371.

Almost surely, 2^3116457216 is an apocalyptic number.

3116457216 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 3116457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729284560).

3116457216 is an abundant number, since it is smaller than the sum of its proper divisors (6342111904).

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

3116457216 is a wasteful number, since it uses less digits than its factorization.

3116457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71232 (or 71215 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3116457216 is about 55825.2381633970. The cubic root of 3116457216 is about 1460.6754265234.

The spelling of 3116457216 in words is "three billion, one hundred sixteen million, four hundred fifty-seven thousand, two hundred sixteen".