3109952664 has 512 divisors, whose sum is σ = 11583129600. Its totient is φ = 749813760.

The previous prime is 3109952653. The next prime is 3109952701. The reversal of 3109952664 is 4662599013.

3109952664 is a `hidden beast` number, since 31 + 0 + 99 + 526 + 6 + 4 = 666.

3109952664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13700119 + ... + 13700345.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^3109952664 is an apocalyptic number.

3109952664 is a gapful number since it is divisible by the number (34) 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 3109952664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

3109952664 is an abundant number, since it is smaller than the sum of its proper divisors (8473176936).

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

3109952664 is a wasteful number, since it uses less digits than its factorization.

3109952664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3109952664 is about 55766.9495669254. The cubic root of 3109952664 is about 1459.6584964696.

The spelling of 3109952664 in words is "three billion, one hundred nine million, nine hundred fifty-two thousand, six hundred sixty-four".