3168046560 has 384 divisors, whose sum is σ = 12410496000. Its totient is φ = 662667264.

The previous prime is 3168046537. The next prime is 3168046561. The reversal of 3168046560 is 656408613.

3168046560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3168046561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2112691 + ... + 2114189.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^3168046560 is an apocalyptic number.

3168046560 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 3168046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

3168046560 is an abundant number, since it is smaller than the sum of its proper divisors (9242449440).

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

3168046560 is a wasteful number, since it uses less digits than its factorization.

3168046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3168046560 is about 56285.4027257512. The cubic root of 3168046560 is about 1468.6912874433.

The spelling of 3168046560 in words is "three billion, one hundred sixty-eight million, forty-six thousand, five hundred sixty".