309804090672 has 80 divisors (see below), whose sum is σ = 811356641280. Its totient is φ = 101847782400.

The previous prime is 309804090667. The next prime is 309804090689. The reversal of 309804090672 is 276090408903.

It is a super-3 number, since 3×309804090672³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 3409672 + ... + 3499352.

It is an arithmetic number, because the mean of its divisors is an integer number (10141958016).

Almost surely, 2^309804090672 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 309804090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405678320640).

309804090672 is an abundant number, since it is smaller than the sum of its proper divisors (501552550608).

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

309804090672 is a wasteful number, since it uses less digits than its factorization.

309804090672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90682 (or 90676 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 309804090672 in words is "three hundred nine billion, eight hundred four million, ninety thousand, six hundred seventy-two".