3116629632 has 128 divisors (see below), whose sum is σ = 8507289600. Its totient is φ = 1010580480.

The previous prime is 3116629627. The next prime is 3116629667. The reversal of 3116629632 is 2369266113.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2153133 + ... + 2154579.

It is an arithmetic number, because the mean of its divisors is an integer number (66463200).

Almost surely, 2^3116629632 is an apocalyptic number.

3116629632 is a gapful number since it is divisible by the number (32) 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 3116629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253644800).

3116629632 is an abundant number, since it is smaller than the sum of its proper divisors (5390659968).

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

3116629632 is a wasteful number, since it uses less digits than its factorization.

3116629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 3116629632 is about 55826.7823898172. The cubic root of 3116629632 is about 1460.7023630042.

The spelling of 3116629632 in words is "three billion, one hundred sixteen million, six hundred twenty-nine thousand, six hundred thirty-two".