3168664920 has 320 divisors, whose sum is σ = 11249979840. Its totient is φ = 798336000.

The previous prime is 3168664871. The next prime is 3168664949. The reversal of 3168664920 is 294668613.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7526310 + ... + 7526730.

It is an arithmetic number, because the mean of its divisors is an integer number (35156187).

Almost surely, 2^3168664920 is an apocalyptic number.

3168664920 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 3168664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624989920).

3168664920 is an abundant number, since it is smaller than the sum of its proper divisors (8081314920).

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

3168664920 is a wasteful number, since it uses less digits than its factorization.

3168664920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3168664920 is about 56290.8955338250. The cubic root of 3168664920 is about 1468.7868374766.

The spelling of 3168664920 in words is "three billion, one hundred sixty-eight million, six hundred sixty-four thousand, nine hundred twenty".