3164013200 has 120 divisors (see below), whose sum is σ = 7749504000. Its totient is φ = 1241210880.

The previous prime is 3164013199. The next prime is 3164013277. The reversal of 3164013200 is 23104613.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 7046576 + ... + 7047024.

It is an arithmetic number, because the mean of its divisors is an integer number (64579200).

Almost surely, 2^3164013200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752000).

3164013200 is an abundant number, since it is smaller than the sum of its proper divisors (4585490800).

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

3164013200 is a wasteful number, since it uses less digits than its factorization.

3164013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3164013200 is about 56249.5617760708. The cubic root of 3164013200 is about 1468.0677405898.

Adding to 3164013200 its reverse (23104613), we get a palindrome (3187117813).

The spelling of 3164013200 in words is "three billion, one hundred sixty-four million, thirteen thousand, two hundred".