329938496 has 112 divisors (see below), whose sum is σ = 737372160. Its totient is φ = 145728000.

The previous prime is 329938493. The next prime is 329938513. The reversal of 329938496 is 694839923.

It is a super-2 number, since 2×329938496² = 217718822285484032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (329938493) 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 15 ways as a sum of consecutive naturals, for example, 1314371 + ... + 1314621.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^329938496 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 329938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

329938496 is an abundant number, since it is smaller than the sum of its proper divisors (407433664).

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

329938496 is a wasteful number, since it uses less digits than its factorization.

329938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 53.

The square root of 329938496 is about 18164.2092038162. The cubic root of 329938496 is about 690.9993891549. Note that the first 3 decimals are identical.

The spelling of 329938496 in words is "three hundred twenty-nine million, nine hundred thirty-eight thousand, four hundred ninety-six".