329982816 has 24 divisors (see below), whose sum is σ = 866205144. Its totient is φ = 109994240.

The previous prime is 329982799. The next prime is 329982833. The reversal of 329982816 is 618289923.

It is an interprime number because it is at equal distance from previous prime (329982799) and next prime (329982833).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1718565 + ... + 1718756.

It is an arithmetic number, because the mean of its divisors is an integer number (36091881).

Almost surely, 2^329982816 is an apocalyptic number.

It is an amenable number.

329982816 is an abundant number, since it is smaller than the sum of its proper divisors (536222328).

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

329982816 is a wasteful number, since it uses less digits than its factorization.

329982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437334 (or 3437326 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 329982816 is about 18165.4291443940. The cubic root of 329982816 is about 691.0303279734.

The spelling of 329982816 in words is "three hundred twenty-nine million, nine hundred eighty-two thousand, eight hundred sixteen".