329109040 has 80 divisors (see below), whose sum is σ = 841696128. Its totient is φ = 118914048.

The previous prime is 329109029. The next prime is 329109059. The reversal of 329109040 is 40901923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 45514 + ... + 52246.

Almost surely, 2^329109040 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 329109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420848064).

329109040 is an abundant number, since it is smaller than the sum of its proper divisors (512587088).

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

329109040 is a wasteful number, since it uses less digits than its factorization.

329109040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 329109040 is about 18141.3626831063. The cubic root of 329109040 is about 690.4198522963.

The spelling of 329109040 in words is "three hundred twenty-nine million, one hundred nine thousand, forty".