3164382720 has 320 divisors, whose sum is σ = 11905755840. Its totient is φ = 793903104.

The previous prime is 3164382701. The next prime is 3164382751. The reversal of 3164382720 is 272834613.

It is a happy number.

3164382720 is a `hidden beast` number, since 3 + 1 + 643 + 8 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1173694 + ... + 1176386.

It is an arithmetic number, because the mean of its divisors is an integer number (37205487).

Almost surely, 2^3164382720 is an apocalyptic number.

3164382720 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 3164382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952877920).

3164382720 is an abundant number, since it is smaller than the sum of its proper divisors (8741373120).

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

3164382720 is a wasteful number, since it uses less digits than its factorization.

3164382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3164382720 is about 56252.8463279859. The cubic root of 3164382720 is about 1468.1248894532.

The spelling of 3164382720 in words is "three billion, one hundred sixty-four million, three hundred eighty-two thousand, seven hundred twenty".