3012382880 has 96 divisors (see below), whose sum is σ = 7683984000. Its totient is φ = 1109394432.

The previous prime is 3012382853. The next prime is 3012382909. The reversal of 3012382880 is 882832103.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3012382880.

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 15 ways as a sum of consecutive naturals, for example, 911471 + ... + 914769.

It is an arithmetic number, because the mean of its divisors is an integer number (80041500).

Almost surely, 2^3012382880 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 3012382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841992000).

3012382880 is an abundant number, since it is smaller than the sum of its proper divisors (4671601120).

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

3012382880 is a wasteful number, since it uses less digits than its factorization.

3012382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 3012382880 is about 54885.1790559164. The cubic root of 3012382880 is about 1444.2312022530.

The spelling of 3012382880 in words is "three billion, twelve million, three hundred eighty-two thousand, eight hundred eighty".