329848120 has 64 divisors (see below), whose sum is σ = 850982400. Its totient is φ = 112717440.

The previous prime is 329848109. The next prime is 329848121. The reversal of 329848120 is 21848923.

It is a self number, because there is not a number n which added to its sum of digits gives 329848120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329848121) 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 15 ways as a sum of consecutive naturals, for example, 90901 + ... + 94459.

It is an arithmetic number, because the mean of its divisors is an integer number (13296600).

Almost surely, 2^329848120 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 329848120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425491200).

329848120 is an abundant number, since it is smaller than the sum of its proper divisors (521134280).

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

329848120 is a wasteful number, since it uses less digits than its factorization.

329848120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 329848120 is about 18161.7212840634. The cubic root of 329848120 is about 690.9362910680.

The spelling of 329848120 in words is "three hundred twenty-nine million, eight hundred forty-eight thousand, one hundred twenty".