3085559568 has 720 divisors, whose sum is σ = 12300462720. Its totient is φ = 725594112.

The previous prime is 3085559563. The next prime is 3085559579. The reversal of 3085559568 is 8659555803.

3085559568 is a `hidden beast` number, since 3 + 0 + 85 + 559 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3085559563) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162397863 + ... + 162397881.

It is an arithmetic number, because the mean of its divisors is an integer number (17083976).

Almost surely, 2^3085559568 is an apocalyptic number.

3085559568 is a gapful number since it is divisible by the number (38) 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 3085559568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150231360).

3085559568 is an abundant number, since it is smaller than the sum of its proper divisors (9214903152).

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

3085559568 is a wasteful number, since it uses less digits than its factorization.

3085559568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The square root of 3085559568 is about 55547.8133503021. The cubic root of 3085559568 is about 1455.8321692999.

The spelling of 3085559568 in words is "three billion, eighty-five million, five hundred fifty-nine thousand, five hundred sixty-eight".