3160579968 has 576 divisors, whose sum is σ = 11745442800. Its totient is φ = 808206336.

The previous prime is 3160579957. The next prime is 3160579969. The reversal of 3160579968 is 8699750613.

3160579968 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 579 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3160579969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43295580 + ... + 43295652.

Almost surely, 2^3160579968 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 3160579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872721400).

3160579968 is an abundant number, since it is smaller than the sum of its proper divisors (8584862832).

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

3160579968 is a wasteful number, since it uses less digits than its factorization.

3160579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3160579968 is about 56219.0356374067. The cubic root of 3160579968 is about 1467.5365543029.

The spelling of 3160579968 in words is "three billion, one hundred sixty million, five hundred seventy-nine thousand, nine hundred sixty-eight".