329936672 has 90 divisors (see below), whose sum is σ = 742676823. Its totient is φ = 144263808.

The previous prime is 329936611. The next prime is 329936687. The reversal of 329936672 is 276639923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 329930896 = 76^2 + 18164^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12844.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17365079 + ... + 17365097.

Almost surely, 2^329936672 is an apocalyptic number.

329936672 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 329936672

329936672 is an abundant number, since it is smaller than the sum of its proper divisors (412740151).

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

329936672 is an frugal number, since it uses more digits than its factorization.

329936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its digits is 734832, while the sum is 47.

The square root of 329936672 is about 18164.1589951200. The cubic root of 329936672 is about 690.9981158012.

The spelling of 329936672 in words is "three hundred twenty-nine million, nine hundred thirty-six thousand, six hundred seventy-two".