329913864 has 256 divisors, whose sum is σ = 1101120000. Its totient is φ = 91445760.

The previous prime is 329913847. The next prime is 329913893. The reversal of 329913864 is 468319923.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 4519332 + ... + 4519404.

It is an arithmetic number, because the mean of its divisors is an integer number (4301250).

Almost surely, 2^329913864 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 329913864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560000).

329913864 is an abundant number, since it is smaller than the sum of its proper divisors (771206136).

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

329913864 is a wasteful number, since it uses less digits than its factorization.

329913864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 329913864 is about 18163.5311544865. The cubic root of 329913864 is about 690.9821928989.

The spelling of 329913864 in words is "three hundred twenty-nine million, nine hundred thirteen thousand, eight hundred sixty-four".