3116709120 has 288 divisors, whose sum is σ = 11622739968. Its totient is φ = 696950784.

The previous prime is 3116709109. The next prime is 3116709121. The reversal of 3116709120 is 219076113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116709121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1262127 + ... + 1264593.

It is an arithmetic number, because the mean of its divisors is an integer number (40356736).

Almost surely, 2^3116709120 is an apocalyptic number.

3116709120 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 3116709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811369984).

3116709120 is an abundant number, since it is smaller than the sum of its proper divisors (8506030848).

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

3116709120 is a wasteful number, since it uses less digits than its factorization.

3116709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 3116709120 is about 55827.4943016432. The cubic root of 3116709120 is about 1460.7147810472.

The spelling of 3116709120 in words is "three billion, one hundred sixteen million, seven hundred nine thousand, one hundred twenty".