3283808055528 has 256 divisors, whose sum is σ = 11078540605440. Its totient is φ = 783328896000.

The previous prime is 3283808055497. The next prime is 3283808055551. The reversal of 3283808055528 is 8255508083823.

3283808055528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4385803 + ... + 5079653.

It is an arithmetic number, because the mean of its divisors is an integer number (43275549240).

Almost surely, 2^{3283808055528} 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 3283808055528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539270302720).

3283808055528 is an abundant number, since it is smaller than the sum of its proper divisors (7794732549912).

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

3283808055528 is a wasteful number, since it uses less digits than its factorization.

3283808055528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694088 (or 694084 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 57.

The spelling of 3283808055528 in words is "three trillion, two hundred eighty-three billion, eight hundred eight million, fifty-five thousand, five hundred twenty-eight".