3009680856 has 96 divisors (see below), whose sum is σ = 10032291360. Its totient is φ = 793760256.

The previous prime is 3009680797. The next prime is 3009680857. The reversal of 3009680856 is 6580869003.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009680857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223125 + ... + 236228.

It is an arithmetic number, because the mean of its divisors is an integer number (104503035).

Almost surely, 2^3009680856 is an apocalyptic number.

3009680856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3009680856 is an abundant number, since it is smaller than the sum of its proper divisors (7022610504).

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

3009680856 is a wasteful number, since it uses less digits than its factorization.

3009680856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459385 (or 459378 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3009680856 is about 54860.5582909981. The cubic root of 3009680856 is about 1443.7992612865.

It can be divided in two parts, 3009 and 680856, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 3009680856 in words is "three billion, nine million, six hundred eighty thousand, eight hundred fifty-six".