3164906304 has 448 divisors, whose sum is σ = 11470233600. Its totient is φ = 835577856.

The previous prime is 3164906279. The next prime is 3164906309. The reversal of 3164906304 is 4036094613.

3164906304 is a `hidden beast` number, since 3 + 1 + 649 + 0 + 6 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164906309) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10801582 + ... + 10801874.

It is an arithmetic number, because the mean of its divisors is an integer number (25603200).

Almost surely, 2^3164906304 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 3164906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735116800).

3164906304 is an abundant number, since it is smaller than the sum of its proper divisors (8305327296).

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

3164906304 is a wasteful number, since it uses less digits than its factorization.

3164906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3164906304 is about 56257.4999800027. The cubic root of 3164906304 is about 1468.2058577787.

The spelling of 3164906304 in words is "three billion, one hundred sixty-four million, nine hundred six thousand, three hundred four".