3085793568 has 288 divisors, whose sum is σ = 10646318592. Its totient is φ = 834969600.

The previous prime is 3085793567. The next prime is 3085793593. The reversal of 3085793568 is 8653975803.

It is a happy number.

3085793568 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 79 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3085793567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275496 + ... + 1277912.

It is an arithmetic number, because the mean of its divisors is an integer number (36966384).

Almost surely, 2^3085793568 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 3085793568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323159296).

3085793568 is an abundant number, since it is smaller than the sum of its proper divisors (7560525024).

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

3085793568 is a wasteful number, since it uses less digits than its factorization.

3085793568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3085793568 is about 55549.9196039022. The cubic root of 3085793568 is about 1455.8689704169.

The spelling of 3085793568 in words is "three billion, eighty-five million, seven hundred ninety-three thousand, five hundred sixty-eight".