3282482765016 has 288 divisors, whose sum is σ = 11139628172400. Its totient is φ = 865505088000.

The previous prime is 3282482764997. The next prime is 3282482765047. The reversal of 3282482765016 is 6105672842823.

3282482765016 is a `hidden beast` number, since 3 + 2 + 82 + 482 + 76 + 5 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386124766 + ... + 386133266.

Almost surely, 2^{3282482765016} is an apocalyptic number.

3282482765016 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 3282482765016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569814086200).

3282482765016 is an abundant number, since it is smaller than the sum of its proper divisors (7857145407384).

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

3282482765016 is a wasteful number, since it uses less digits than its factorization.

3282482765016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3282482765016 in words is "three trillion, two hundred eighty-two billion, four hundred eighty-two million, seven hundred sixty-five thousand, sixteen".