3161146560 has 224 divisors, whose sum is σ = 11791809792. Its totient is φ = 707358720.

The previous prime is 3161146543. The next prime is 3161146567. The reversal of 3161146560 is 656411613.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3161146567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125767 + ... + 148793.

It is an arithmetic number, because the mean of its divisors is an integer number (52642008).

Almost surely, 2^3161146560 is an apocalyptic number.

3161146560 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 3161146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895904896).

3161146560 is an abundant number, since it is smaller than the sum of its proper divisors (8630663232).

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

3161146560 is a wasteful number, since it uses less digits than its factorization.

3161146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23071 (or 23061 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3161146560 is about 56224.0745588578. The cubic root of 3161146560 is about 1467.6242433555.

The spelling of 3161146560 in words is "three billion, one hundred sixty-one million, one hundred forty-six thousand, five hundred sixty".