3056985600 has 120 divisors (see below), whose sum is σ = 10098687720. Its totient is φ = 815185920.

The previous prime is 3056985599. The next prime is 3056985641. The reversal of 3056985600 is 65896503.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405 + ... + 78204.

It is an arithmetic number, because the mean of its divisors is an integer number (84155731).

Almost surely, 2^3056985600 is an apocalyptic number.

3056985600 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 3056985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049343860).

3056985600 is an abundant number, since it is smaller than the sum of its proper divisors (7041702120).

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

3056985600 is an equidigital number, since it uses as much as digits as its factorization.

3056985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79640 (or 79619 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 3056985600 is about 55290.0135648383. The cubic root of 3056985600 is about 1451.3242915376.

The spelling of 3056985600 in words is "three billion, fifty-six million, nine hundred eighty-five thousand, six hundred".