329325840 has 60 divisors (see below), whose sum is σ = 1105988364. Its totient is φ = 87820032.

The previous prime is 329325833. The next prime is 329325877. The reversal of 329325840 is 48523923.

329325840 is a `hidden beast` number, since 329 + 325 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112529664 + 216796176 = 10608^2 + 14724^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 329325795 and 329325804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227979 + ... + 229418.

Almost surely, 2^329325840 is an apocalyptic number.

329325840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329325840 is an abundant number, since it is smaller than the sum of its proper divisors (776662524).

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

329325840 is a wasteful number, since it uses less digits than its factorization.

329325840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457416 (or 457407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 329325840 is about 18147.3369947218. The cubic root of 329325840 is about 690.5714233057.

The spelling of 329325840 in words is "three hundred twenty-nine million, three hundred twenty-five thousand, eight hundred forty".