329913216 has 64 divisors (see below), whose sum is σ = 973712400. Its totient is φ = 109969920.

The previous prime is 329913209. The next prime is 329913229. The reversal of 329913216 is 612319923.

It is a happy number.

329913216 is a `hidden beast` number, since 329 + 9 + 1 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44275 + ... + 51186.

Almost surely, 2^329913216 is an apocalyptic number.

329913216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

329913216 is an abundant number, since it is smaller than the sum of its proper divisors (643799184).

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

329913216 is an equidigital number, since it uses as much as digits as its factorization.

329913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95484 (or 95466 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 329913216 is about 18163.5133165365. The cubic root of 329913216 is about 690.9817405013.

The spelling of 329913216 in words is "three hundred twenty-nine million, nine hundred thirteen thousand, two hundred sixteen".