329322672 has 200 divisors, whose sum is σ = 1125420032. Its totient is φ = 90979200.

The previous prime is 329322667. The next prime is 329322673. The reversal of 329322672 is 276223923.

329322672 is a `hidden beast` number, since 329 + 322 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (329322673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280647 + ... + 281817.

Almost surely, 2^329322672 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 329322672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562710016).

329322672 is an abundant number, since it is smaller than the sum of its proper divisors (796097360).

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

329322672 is a wasteful number, since it uses less digits than its factorization.

329322672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1214 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 329322672 is about 18147.2497089779. The cubic root of 329322672 is about 690.5692089463.

The spelling of 329322672 in words is "three hundred twenty-nine million, three hundred twenty-two thousand, six hundred seventy-two".