329387648 has 128 divisors (see below), whose sum is σ = 757900800. Its totient is φ = 141557760.

The previous prime is 329387621. The next prime is 329387651. The reversal of 329387648 is 846783923.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 329387596 and 329387605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281536 + ... + 1281792.

It is an arithmetic number, because the mean of its divisors is an integer number (5921100).

Almost surely, 2^329387648 is an apocalyptic number.

329387648 is a gapful number since it is divisible by the number (38) 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 329387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378950400).

329387648 is an abundant number, since it is smaller than the sum of its proper divisors (428513152).

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

329387648 is a wasteful number, since it uses less digits than its factorization.

329387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 329387648 is about 18149.0398644116. The cubic root of 329387648 is about 690.6146228398.

The spelling of 329387648 in words is "three hundred twenty-nine million, three hundred eighty-seven thousand, six hundred forty-eight".