329598672 has 120 divisors (see below), whose sum is σ = 945439488. Its totient is φ = 98841600.

The previous prime is 329598649. The next prime is 329598673. The reversal of 329598672 is 276895923.

329598672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329598673) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 332097 + ... + 333087.

Almost surely, 2^329598672 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 329598672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472719744).

329598672 is an abundant number, since it is smaller than the sum of its proper divisors (615840816).

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

329598672 is a wasteful number, since it uses less digits than its factorization.

329598672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1050 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 329598672 is about 18154.8525744496. The cubic root of 329598672 is about 690.7620733690.

The spelling of 329598672 in words is "three hundred twenty-nine million, five hundred ninety-eight thousand, six hundred seventy-two".