329130648 has 288 divisors, whose sum is σ = 1173538800. Its totient is φ = 85155840.

The previous prime is 329130617. The next prime is 329130649. The reversal of 329130648 is 846031923.

329130648 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 3 + 0 + 648 = 666.

329130648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329130649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1280536 + ... + 1280792.

Almost surely, 2^329130648 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 329130648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586769400).

329130648 is an abundant number, since it is smaller than the sum of its proper divisors (844408152).

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

329130648 is a wasteful number, since it uses less digits than its factorization.

329130648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 329130648 is about 18141.9582184504. The cubic root of 329130648 is about 690.4349620460.

The spelling of 329130648 in words is "three hundred twenty-nine million, one hundred thirty thousand, six hundred forty-eight".