329040096 has 144 divisors (see below), whose sum is σ = 1096260480. Its totient is φ = 85451520.

The previous prime is 329040079. The next prime is 329040097. The reversal of 329040096 is 690040923.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329040097) 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, 48565 + ... + 54923.

It is an arithmetic number, because the mean of its divisors is an integer number (7612920).

Almost surely, 2^329040096 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 329040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548130240).

329040096 is an abundant number, since it is smaller than the sum of its proper divisors (767220384).

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

329040096 is a wasteful number, since it uses less digits than its factorization.

329040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 329040096 is about 18139.4623955618. The cubic root of 329040096 is about 690.3716376473.

The spelling of 329040096 in words is "three hundred twenty-nine million, forty thousand, ninety-six".