3282210288 has 160 divisors (see below), whose sum is σ = 10970726400. Its totient is φ = 920035584.

The previous prime is 3282210251. The next prime is 3282210301. The reversal of 3282210288 is 8820122823.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150033 + ... + 170511.

It is an arithmetic number, because the mean of its divisors is an integer number (68567040).

Almost surely, 2^3282210288 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 3282210288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485363200).

3282210288 is an abundant number, since it is smaller than the sum of its proper divisors (7688516112).

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

3282210288 is a wasteful number, since it uses less digits than its factorization.

3282210288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 20544 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3282210288 is about 57290.5776546196. The cubic root of 3282210288 is about 1486.1254360052.

The spelling of 3282210288 in words is "three billion, two hundred eighty-two million, two hundred ten thousand, two hundred eighty-eight".