3282198271056 has 320 divisors, whose sum is σ = 9990767692800. Its totient is φ = 1028788314624.

The previous prime is 3282198270983. The next prime is 3282198271057. The reversal of 3282198271056 is 6501728912823.

3282198271056 is a `hidden beast` number, since 3 + 282 + 1 + 98 + 271 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3282198270993 and 3282198271011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282198271057) 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 63 ways as a sum of consecutive naturals, for example, 1748639590 + ... + 1748641466.

It is an arithmetic number, because the mean of its divisors is an integer number (31221149040).

Almost surely, 2^{3282198271056} is an apocalyptic number.

3282198271056 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 3282198271056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995383846400).

3282198271056 is an abundant number, since it is smaller than the sum of its proper divisors (6708569421744).

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

3282198271056 is a wasteful number, since it uses less digits than its factorization.

3282198271056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 3282198271056 in words is "three trillion, two hundred eighty-two billion, one hundred ninety-eight million, two hundred seventy-one thousand, fifty-six".