3164112000 has 768 divisors, whose sum is σ = 13470462720. Its totient is φ = 696729600.

The previous prime is 3164111911. The next prime is 3164112013. The reversal of 3164112000 is 2114613.

It is a happy number.

3164112000 is a `hidden beast` number, since 3 + 1 + 641 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43343964 + ... + 43344036.

It is an arithmetic number, because the mean of its divisors is an integer number (17539665).

Almost surely, 2^3164112000 is an apocalyptic number.

3164112000 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 3164112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735231360).

3164112000 is an abundant number, since it is smaller than the sum of its proper divisors (10306350720).

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

3164112000 is a wasteful number, since it uses less digits than its factorization.

3164112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3164112000 is about 56250.4399982791. The cubic root of 3164112000 is about 1468.0830211396.

Adding to 3164112000 its reverse (2114613), we get a palindrome (3166226613).

The spelling of 3164112000 in words is "three billion, one hundred sixty-four million, one hundred twelve thousand".