3005778280 has 16 divisors (see below), whose sum is σ = 6763001220. Its totient is φ = 1202311296.

The previous prime is 3005778227. The next prime is 3005778289. The reversal of 3005778280 is 828775003.

It can be written as a sum of positive squares in 2 ways, for example, as 2800314724 + 205463556 = 52918^2 + 14334^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 75144457 = 3005778280 / (3 + 0 + 0 + 5 + 7 + 7 + 8 + 2 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (3005778289) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 37572189 + ... + 37572268.

Almost surely, 2^3005778280 is an apocalyptic number.

It is an amenable number.

3005778280 is an abundant number, since it is smaller than the sum of its proper divisors (3757222940).

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

3005778280 is a wasteful number, since it uses less digits than its factorization.

3005778280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75144468 (or 75144464 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 3005778280 is about 54824.9786137669. The cubic root of 3005778280 is about 1443.1749455359.

The spelling of 3005778280 in words is "three billion, five million, seven hundred seventy-eight thousand, two hundred eighty".