329349384 has 288 divisors, whose sum is σ = 1150269120. Its totient is φ = 84333312.

The previous prime is 329349373. The next prime is 329349407. The reversal of 329349384 is 483943923.

329349384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1972069 + ... + 1972235.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2^329349384 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 329349384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

329349384 is an abundant number, since it is smaller than the sum of its proper divisors (820919736).

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

329349384 is a wasteful number, since it uses less digits than its factorization.

329349384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

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

The square root of 329349384 is about 18147.9856733468. The cubic root of 329349384 is about 690.5878795770.

The spelling of 329349384 in words is "three hundred twenty-nine million, three hundred forty-nine thousand, three hundred eighty-four".