329394648 has 64 divisors (see below), whose sum is σ = 900385920. Its totient is φ = 99590400.

The previous prime is 329394647. The next prime is 329394649. The reversal of 329394648 is 846493923.

It is an interprime number because it is at equal distance from previous prime (329394647) and next prime (329394649).

It is a junction number, because it is equal to n+sod(n) for n = 329394597 and 329394606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329394647) 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, 143268 + ... + 145548.

It is an arithmetic number, because the mean of its divisors is an integer number (14068530).

Almost surely, 2^329394648 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 329394648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450192960).

329394648 is an abundant number, since it is smaller than the sum of its proper divisors (570991272).

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

329394648 is a wasteful number, since it uses less digits than its factorization.

329394648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2844 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 329394648 is about 18149.2327110542. The cubic root of 329394648 is about 690.6195150169.

The spelling of 329394648 in words is "three hundred twenty-nine million, three hundred ninety-four thousand, six hundred forty-eight".