329344 has 32 divisors (see below), whose sum is σ = 685440. Its totient is φ = 157440.

The previous prime is 329333. The next prime is 329347. The reversal of 329344 is 443923.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (329347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3927 + ... + 4009.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2³²⁹³⁴⁴ 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 329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

329344 is an abundant number, since it is smaller than the sum of its proper divisors (356096).

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

329344 is an equidigital number, since it uses as much as digits as its factorization.

329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 329344 is about 573.8850059028. The cubic root of 329344 is about 69.0584116455.

The spelling of 329344 in words is "three hundred twenty-nine thousand, three hundred forty-four".