3009640680 has 96 divisors (see below), whose sum is σ = 10045737000. Its totient is φ = 780876288.

The previous prime is 3009640661. The next prime is 3009640687. The reversal of 3009640680 is 860469003.

3009640680 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 640 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2967416676 + 42224004 = 54474^2 + 6498^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3009640687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99655 + ... + 126294.

Almost surely, 2^3009640680 is an apocalyptic number.

3009640680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3009640680 is an abundant number, since it is smaller than the sum of its proper divisors (7036096320).

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

3009640680 is a wasteful number, since it uses less digits than its factorization.

3009640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226003 (or 225996 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3009640680 is about 54860.1921250737. The cubic root of 3009640680 is about 1443.7928368692.

The spelling of 3009640680 in words is "three billion, nine million, six hundred forty thousand, six hundred eighty".