329085312 has 32 divisors (see below), whose sum is σ = 874133880. Its totient is φ = 109694976.

The previous prime is 329085293. The next prime is 329085313. The reversal of 329085312 is 213580923.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329085313) 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 3 ways as a sum of consecutive naturals, for example, 428113 + ... + 428880.

Almost surely, 2^329085312 is an apocalyptic number.

329085312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

329085312 is an abundant number, since it is smaller than the sum of its proper divisors (545048568).

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

329085312 is an equidigital number, since it uses as much as digits as its factorization.

329085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857010 (or 856998 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 329085312 is about 18140.7086961894. The cubic root of 329085312 is about 690.4032593398.

The spelling of 329085312 in words is "three hundred twenty-nine million, eighty-five thousand, three hundred twelve".