329934384 has 100 divisors (see below), whose sum is σ = 1028434176. Its totient is φ = 101513088.

The previous prime is 329934383. The next prime is 329934403. The reversal of 329934384 is 483439923.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (329934383) 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 19 ways as a sum of consecutive naturals, for example, 7057 + ... + 26639.

Almost surely, 2^329934384 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 329934384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514217088).

329934384 is an abundant number, since it is smaller than the sum of its proper divisors (698499792).

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

329934384 is a wasteful number, since it uses less digits than its factorization.

329934384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19601 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 329934384 is about 18164.0960138401. The cubic root of 329934384 is about 690.9965185176.

The spelling of 329934384 in words is "three hundred twenty-nine million, nine hundred thirty-four thousand, three hundred eighty-four".