3282807528 has 576 divisors, whose sum is σ = 12652960320. Its totient is φ = 783820800.

The previous prime is 3282807481. The next prime is 3282807529. The reversal of 3282807528 is 8257082823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282807529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13621488 + ... + 13621728.

It is an arithmetic number, because the mean of its divisors is an integer number (21966945).

Almost surely, 2^3282807528 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 3282807528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326480160).

3282807528 is an abundant number, since it is smaller than the sum of its proper divisors (9370152792).

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

3282807528 is a wasteful number, since it uses less digits than its factorization.

3282807528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3282807528 is about 57295.7897929682. The cubic root of 3282807528 is about 1486.2155703606.

The spelling of 3282807528 in words is "three billion, two hundred eighty-two million, eight hundred seven thousand, five hundred twenty-eight".