329376 has 48 divisors (see below), whose sum is σ = 895104. Its totient is φ = 105984.

The previous prime is 329347. The next prime is 329387. The reversal of 329376 is 673923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4476 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2³²⁹³⁷⁶ 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 329376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552).

329376 is an abundant number, since it is smaller than the sum of its proper divisors (565728).

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

329376 is a wasteful number, since it uses less digits than its factorization.

329376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 329376 is about 573.9128853755. The cubic root of 329376 is about 69.0606482103.

The spelling of 329376 in words is "three hundred twenty-nine thousand, three hundred seventy-six".