329826816 has 240 divisors, whose sum is σ = 1081368288. Its totient is φ = 99532800.

The previous prime is 329826799. The next prime is 329826821. The reversal of 329826816 is 618628923.

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

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, 1368456 + ... + 1368696.

Almost surely, 2^329826816 is an apocalyptic number.

329826816 is a gapful number since it is divisible by the number (36) 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 329826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540684144).

329826816 is an abundant number, since it is smaller than the sum of its proper divisors (751541472).

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

329826816 is an equidigital number, since it uses as much as digits as its factorization.

329826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 329826816 is about 18161.1347663080. The cubic root of 329826816 is about 690.9214155109.

The spelling of 329826816 in words is "three hundred twenty-nine million, eight hundred twenty-six thousand, eight hundred sixteen".