329332672 has 56 divisors (see below), whose sum is σ = 674827200. Its totient is φ = 159384576.

The previous prime is 329332669. The next prime is 329332693. The reversal of 329332672 is 276233923.

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 7 ways as a sum of consecutive naturals, for example, 267354 + ... + 268582.

Almost surely, 2^329332672 is an apocalyptic number.

329332672 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 329332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337413600).

329332672 is an abundant number, since it is smaller than the sum of its proper divisors (345494528).

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

329332672 is a wasteful number, since it uses less digits than its factorization.

329332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1363 counting only the distinct ones).

The product of its digits is 81648, while the sum is 37.

The square root of 329332672 is about 18147.5252307305. The cubic root of 329332672 is about 690.5761986687.

The spelling of 329332672 in words is "three hundred twenty-nine million, three hundred thirty-two thousand, six hundred seventy-two".