329345984 has 56 divisors (see below), whose sum is σ = 736006656. Its totient is φ = 144864000.

The previous prime is 329345983. The next prime is 329345999. The reversal of 329345984 is 489543923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329345983) 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 7 ways as a sum of consecutive naturals, for example, 14279 + ... + 29369.

It is an arithmetic number, because the mean of its divisors is an integer number (13142976).

Almost surely, 2^329345984 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 329345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368003328).

329345984 is an abundant number, since it is smaller than the sum of its proper divisors (406660672).

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

329345984 is a wasteful number, since it uses less digits than its factorization.

329345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145 (or 15135 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 329345984 is about 18147.8919987970. The cubic root of 329345984 is about 690.5855031677.

The spelling of 329345984 in words is "three hundred twenty-nine million, three hundred forty-five thousand, nine hundred eighty-four".