3056808960 has 132 divisors (see below), whose sum is σ = 10591923108. Its totient is φ = 815136768.

The previous prime is 3056808949. The next prime is 3056808967. The reversal of 3056808960 is 698086503.

3056808960 is a `hidden beast` number, since 3 + 0 + 568 + 0 + 89 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1344835584 + 1711973376 = 36672^2 + 41376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3056808967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12912 + ... + 79248.

Almost surely, 2^3056808960 is an apocalyptic number.

3056808960 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 3056808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295961554).

3056808960 is an abundant number, since it is smaller than the sum of its proper divisors (7535114148).

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

3056808960 is a wasteful number, since it uses less digits than its factorization.

3056808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66368 (or 66347 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3056808960 is about 55288.4161466034. The cubic root of 3056808960 is about 1451.2963373267.

The spelling of 3056808960 in words is "three billion, fifty-six million, eight hundred eight thousand, nine hundred sixty".