3164104944 has 560 divisors, whose sum is σ = 12386540544. Its totient is φ = 755827200.

The previous prime is 3164104891. The next prime is 3164104969. The reversal of 3164104944 is 4494014613.

It is a happy number.

3164104944 is a `hidden beast` number, since 3 + 1 + 641 + 0 + 4 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3164104899 and 3164104908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11675529 + ... + 11675799.

Almost surely, 2^3164104944 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 3164104944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193270272).

3164104944 is an abundant number, since it is smaller than the sum of its proper divisors (9222435600).

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

3164104944 is a wasteful number, since it uses less digits than its factorization.

3164104944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3164104944 is about 56250.3772787348. The cubic root of 3164104944 is about 1468.0819298590.

The spelling of 3164104944 in words is "three billion, one hundred sixty-four million, one hundred four thousand, nine hundred forty-four".