329364864 has 192 divisors, whose sum is σ = 994765200. Its totient is φ = 104509440.

The previous prime is 329364859. The next prime is 329364883. The reversal of 329364864 is 468463923.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3021642 + ... + 3021750.

Almost surely, 2^329364864 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 329364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497382600).

329364864 is an abundant number, since it is smaller than the sum of its proper divisors (665400336).

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

329364864 is a wasteful number, since it uses less digits than its factorization.

329364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 329364864 is about 18148.4121619496. The cubic root of 329364864 is about 690.5986990223.

The spelling of 329364864 in words is "three hundred twenty-nine million, three hundred sixty-four thousand, eight hundred sixty-four".