329346 has 40 divisors (see below), whose sum is σ = 784080. Its totient is φ = 103032.

The previous prime is 329333. The next prime is 329347. The reversal of 329346 is 643923.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

329346 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3025 + ... + 3131.

It is an arithmetic number, because the mean of its divisors is an integer number (19602).

329346 is a Friedman number, since it can be written as 963*342, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 342 ⋅ 963 (with its own digits).

2³²⁹³⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040).

329346 is an abundant number, since it is smaller than the sum of its proper divisors (454734).

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

329346 is a wasteful number, since it uses less digits than its factorization.

329346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 329346 is about 573.8867484095. The cubic root of 329346 is about 69.0585514351.

The spelling of 329346 in words is "three hundred twenty-nine thousand, three hundred forty-six".