329839488 has 96 divisors (see below), whose sum is σ = 1035473400. Its totient is φ = 99947520.

The previous prime is 329839483. The next prime is 329839501. The reversal of 329839488 is 884938923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329839483) 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 11 ways as a sum of consecutive naturals, for example, 343 + ... + 25686.

Almost surely, 2^329839488 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 329839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517736700).

329839488 is an abundant number, since it is smaller than the sum of its proper divisors (705633912).

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

329839488 is a wasteful number, since it uses less digits than its factorization.

329839488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26060 (or 26045 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 329839488 is about 18161.4836398352. The cubic root of 329839488 is about 690.9302638353.

The spelling of 329839488 in words is "three hundred twenty-nine million, eight hundred thirty-nine thousand, four hundred eighty-eight".