329604534272 has 312 divisors, whose sum is σ = 777165159816. Its totient is φ = 139122966528.

The previous prime is 329604534271. The next prime is 329604534277. The reversal of 329604534272 is 272435406923.

It can be written as a sum of positive squares in 12 ways, for example, as 38453641216 + 291150893056 = 196096^2 + 539584^2 .

It is not an unprimeable number, because it can be changed into a prime (329604534271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435408518 + ... + 435409274.

Almost surely, 2^329604534272 is an apocalyptic number.

329604534272 is a gapful number since it is divisible by the number (32) 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 329604534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388582579908).

329604534272 is an abundant number, since it is smaller than the sum of its proper divisors (447560625544).

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

329604534272 is a wasteful number, since it uses less digits than its factorization.

329604534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 47.

The spelling of 329604534272 in words is "three hundred twenty-nine billion, six hundred four million, five hundred thirty-four thousand, two hundred seventy-two".