329769216 has 324 divisors, whose sum is σ = 1163215872. Its totient is φ = 89413632.

The previous prime is 329769211. The next prime is 329769221. The reversal of 329769216 is 612967923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (329769211) and next prime (329769221).

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

Its product of digits (244944) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (329769211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2596545 + ... + 2596671.

Almost surely, 2^329769216 is an apocalyptic number.

329769216 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 329769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581607936).

329769216 is an abundant number, since it is smaller than the sum of its proper divisors (833446656).

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

329769216 is a wasteful number, since it uses less digits than its factorization.

329769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 329769216 is about 18159.5488930755. The cubic root of 329769216 is about 690.8811929976.

The spelling of 329769216 in words is "three hundred twenty-nine million, seven hundred sixty-nine thousand, two hundred sixteen".