3085600576 has 28 divisors (see below), whose sum is σ = 6223373380. Its totient is φ = 1517506560.

The previous prime is 3085600571. The next prime is 3085600597. The reversal of 3085600576 is 6750065803.

3085600576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1614110976 + 1471489600 = 40176^2 + 38360^2 .

It is a super-3 number, since 3×3085600576³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085600571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391281 + ... + 399088.

It is an arithmetic number, because the mean of its divisors is an integer number (222263335).

Almost surely, 2^3085600576 is an apocalyptic number.

It is an amenable number.

3085600576 is an abundant number, since it is smaller than the sum of its proper divisors (3137772804).

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

3085600576 is an equidigital number, since it uses as much as digits as its factorization.

3085600576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790442 (or 790432 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 3085600576 is about 55548.1824725166. The cubic root of 3085600576 is about 1455.8386187514.

The spelling of 3085600576 in words is "three billion, eighty-five million, six hundred thousand, five hundred seventy-six".