329538496 has 56 divisors (see below), whose sum is σ = 749092736. Its totient is φ = 140901120.

The previous prime is 329538449. The next prime is 329538497. The reversal of 329538496 is 694835923.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329538497) 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, 362875 + ... + 363781.

It is an arithmetic number, because the mean of its divisors is an integer number (13376656).

Almost surely, 2^329538496 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 329538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374546368).

329538496 is an abundant number, since it is smaller than the sum of its proper divisors (419554240).

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

329538496 is an equidigital number, since it uses as much as digits as its factorization.

329538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1727 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

The square root of 329538496 is about 18153.1952008455. The cubic root of 329538496 is about 690.7200325154.

The spelling of 329538496 in words is "three hundred twenty-nine million, five hundred thirty-eight thousand, four hundred ninety-six".