3164893992 has 256 divisors, whose sum is σ = 10061856000. Its totient is φ = 913711104.

The previous prime is 3164893969. The next prime is 3164894003. The reversal of 3164893992 is 2993984613.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7309008 + ... + 7309440.

It is an arithmetic number, because the mean of its divisors is an integer number (39304125).

Almost surely, 2^3164893992 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 3164893992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030928000).

3164893992 is an abundant number, since it is smaller than the sum of its proper divisors (6896962008).

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

3164893992 is a wasteful number, since it uses less digits than its factorization.

3164893992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 3164893992 is about 56257.3905544863. The cubic root of 3164893992 is about 1468.2039539231.

The spelling of 3164893992 in words is "three billion, one hundred sixty-four million, eight hundred ninety-three thousand, nine hundred ninety-two".