3282868202328 has 288 divisors, whose sum is σ = 10748567793600. Its totient is φ = 898745379840.

The previous prime is 3282868202179. The next prime is 3282868202399. The reversal of 3282868202328 is 8232028682823.

3282868202328 is a `hidden beast` number, since 32 + 8 + 2 + 86 + 8 + 202 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5014668 + ... + 5631396.

It is an arithmetic number, because the mean of its divisors is an integer number (37321415950).

Almost surely, 2^{3282868202328} 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 3282868202328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374283896800).

3282868202328 is an abundant number, since it is smaller than the sum of its proper divisors (7465699591272).

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

3282868202328 is a wasteful number, since it uses less digits than its factorization.

3282868202328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616823 (or 616805 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 3282868202328 in words is "three trillion, two hundred eighty-two billion, eight hundred sixty-eight million, two hundred two thousand, three hundred twenty-eight".