3056114880 has 896 divisors, whose sum is σ = 13928140800. Its totient is φ = 616771584.

The previous prime is 3056114879. The next prime is 3056114899. The reversal of 3056114880 is 884116503.

3056114880 is a `hidden beast` number, since 3 + 0 + 561 + 14 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132874549 + ... + 132874571.

It is an arithmetic number, because the mean of its divisors is an integer number (15544800).

Almost surely, 2^3056114880 is an apocalyptic number.

3056114880 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 3056114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964070400).

3056114880 is an abundant number, since it is smaller than the sum of its proper divisors (10872025920).

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

3056114880 is a wasteful number, since it uses less digits than its factorization.

3056114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3056114880 is about 55282.1388877095. The cubic root of 3056114880 is about 1451.1864850782.

The spelling of 3056114880 in words is "three billion, fifty-six million, one hundred fourteen thousand, eight hundred eighty".