3882984539841 has 81 divisors (see below), whose sum is σ = 6216317632161. Its totient is φ = 2333894547600.

The previous prime is 3882984539827. The next prime is 3882984539969. The reversal of 3882984539841 is 1489354892883.

The square root of 3882984539841 is 1970529.

It is a perfect power (a square), and thus also a powerful number.

3882984539841 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 9 + 8 + 4 + 539 + 84 + 1 = 666.

It is not a de Polignac number, because 3882984539841 - 2¹⁷ = 3882984408769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3882984539841.

It is not an unprimeable number, because it can be changed into a prime (3882984539041) 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 80 ways as a sum of consecutive naturals, for example, 13720793286 + ... + 13720793568.

Almost surely, 2^{3882984539841} is an apocalyptic number.

3882984539841 is the 1970529-th square number.

3882984539841 is the 985265-th centered octagonal number.

It is an amenable number.

3882984539841 is a deficient number, since it is larger than the sum of its proper divisors (2333333092320).

3882984539841 is an equidigital number, since it uses as much as digits as its factorization.

3882984539841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 508 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 3882984539841 in words is "three trillion, eight hundred eighty-two billion, nine hundred eighty-four million, five hundred thirty-nine thousand, eight hundred forty-one".