329685312 has 168 divisors, whose sum is σ = 1002109248. Its totient is φ = 95406080.

The previous prime is 329685271. The next prime is 329685313. The reversal of 329685312 is 213586923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329685313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534028 + ... + 534644.

It is an arithmetic number, because the mean of its divisors is an integer number (5964936).

Almost surely, 2^329685312 is an apocalyptic number.

329685312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501054624).

329685312 is an abundant number, since it is smaller than the sum of its proper divisors (672423936).

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

329685312 is a wasteful number, since it uses less digits than its factorization.

329685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 656 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 329685312 is about 18157.2385565647. The cubic root of 329685312 is about 690.8225938220.

The spelling of 329685312 in words is "three hundred twenty-nine million, six hundred eighty-five thousand, three hundred twelve".