3282552068256 has 480 divisors, whose sum is σ = 9996801712128. Its totient is φ = 1056008378880.

The previous prime is 3282552068221. The next prime is 3282552068267. The reversal of 3282552068256 is 6528602552823.

3282552068256 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 5 + 520 + 68 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5592081595 + ... + 5592082181.

Almost surely, 2^{3282552068256} is an apocalyptic number.

3282552068256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282552068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998400856064).

3282552068256 is an abundant number, since it is smaller than the sum of its proper divisors (6714249643872).

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

3282552068256 is a wasteful number, since it uses less digits than its factorization.

3282552068256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 3282552068256 in words is "three trillion, two hundred eighty-two billion, five hundred fifty-two million, sixty-eight thousand, two hundred fifty-six".