3064041331560 has 1280 divisors, whose sum is σ = 12567547872000. Its totient is φ = 660917698560.

The previous prime is 3064041331517. The next prime is 3064041331601. The reversal of 3064041331560 is 651331404603.

3064041331560 is a `hidden beast` number, since 3 + 0 + 64 + 0 + 4 + 1 + 3 + 31 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 726590572 + ... + 726594788.

It is an arithmetic number, because the mean of its divisors is an integer number (9818396775).

Almost surely, 2^{3064041331560} is an apocalyptic number.

3064041331560 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 3064041331560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283773936000).

3064041331560 is an abundant number, since it is smaller than the sum of its proper divisors (9503506540440).

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

3064041331560 is a wasteful number, since it uses less digits than its factorization.

3064041331560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3064041331560 in words is "three trillion, sixty-four billion, forty-one million, three hundred thirty-one thousand, five hundred sixty".