329966976 has 128 divisors (see below), whose sum is σ = 923581440. Its totient is φ = 104232960.

The previous prime is 329966971. The next prime is 329966983. The reversal of 329966976 is 679669923.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329966971) 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, 630651 + ... + 631173.

It is an arithmetic number, because the mean of its divisors is an integer number (7215480).

Almost surely, 2^329966976 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 329966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461790720).

329966976 is an abundant number, since it is smaller than the sum of its proper divisors (593614464).

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

329966976 is a wasteful number, since it uses less digits than its factorization.

329966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 57.

The square root of 329966976 is about 18164.9931461589. The cubic root of 329966976 is about 691.0192707355.

The spelling of 329966976 in words is "three hundred twenty-nine million, nine hundred sixty-six thousand, nine hundred seventy-six".