309680000 has 240 divisors, whose sum is σ = 908146800. Its totient is φ = 104832000.

The previous prime is 309679999. The next prime is 309680017. The reversal of 309680000 is 86903.

It is a happy number.

309680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 3919961 + ... + 3920039.

It is an arithmetic number, because the mean of its divisors is an integer number (3783945).

Almost surely, 2^309680000 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 309680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454073400).

309680000 is an abundant number, since it is smaller than the sum of its proper divisors (598466800).

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

309680000 is an frugal number, since it uses more digits than its factorization.

309680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 309680000 is about 17597.7271259671. The cubic root of 309680000 is about 676.5569910764.

The spelling of 309680000 in words is "three hundred nine million, six hundred eighty thousand".