3066390080 has 84 divisors (see below), whose sum is σ = 7906867092. Its totient is φ = 1132185600.

The previous prime is 3066390043. The next prime is 3066390083. The reversal of 3066390080 is 800936603.

It can be written as a sum of positive squares in 6 ways, for example, as 441672256 + 2624717824 = 21016^2 + 51232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3066390080.

It is not an unprimeable number, because it can be changed into a prime (3066390083) 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, 25730 + ... + 82430.

Almost surely, 2^3066390080 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 3066390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953433546).

3066390080 is an abundant number, since it is smaller than the sum of its proper divisors (4840477012).

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

3066390080 is a wasteful number, since it uses less digits than its factorization.

3066390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56744 (or 56721 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3066390080 is about 55374.9950790066. The cubic root of 3066390080 is about 1452.8110478210.

The spelling of 3066390080 in words is "three billion, sixty-six million, three hundred ninety thousand, eighty".