306379872 has 108 divisors (see below), whose sum is σ = 911248884. Its totient is φ = 97637760.

The previous prime is 306379847. The next prime is 306379873. The reversal of 306379872 is 278973603.

It is a happy number.

306379872 is a `hidden beast` number, since 3 + 0 + 637 + 9 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306379873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151347 + ... + 153357.

Almost surely, 2^306379872 is an apocalyptic number.

306379872 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 306379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455624442).

306379872 is an abundant number, since it is smaller than the sum of its proper divisors (604869012).

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

306379872 is a wasteful number, since it uses less digits than its factorization.

306379872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 306379872 is about 17503.7102352616. The cubic root of 306379872 is about 674.1451433345.

The spelling of 306379872 in words is "three hundred six million, three hundred seventy-nine thousand, eight hundred seventy-two".