309672672 has 96 divisors (see below), whose sum is σ = 861749280. Its totient is φ = 97198080.

The previous prime is 309672641. The next prime is 309672689. The reversal of 309672672 is 276276903.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112788 + ... + 115500.

It is an arithmetic number, because the mean of its divisors is an integer number (8976555).

Almost surely, 2^309672672 is an apocalyptic number.

309672672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430874640).

309672672 is an abundant number, since it is smaller than the sum of its proper divisors (552076608).

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

309672672 is a wasteful number, since it uses less digits than its factorization.

309672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 309672672 is about 17597.5189160290. The cubic root of 309672672 is about 676.5516545476.

The spelling of 309672672 in words is "three hundred nine million, six hundred seventy-two thousand, six hundred seventy-two".