3822936084289 has 81 divisors (see below), whose sum is σ = 4791550035753. Its totient is φ = 3040778361600.

The previous prime is 3822936084221. The next prime is 3822936084313. The reversal of 3822936084289 is 9824806392283.

The square root of 3822936084289 is 1955233.

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

It can be written as a sum of positive squares in 4 ways, for example, as 424886259889 + 3398049824400 = 651833^2 + 1843380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3822936084289 is a prime.

It is a super-2 number, since 2×3822936084289² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3822936084289.

It is not an unprimeable number, because it can be changed into a prime (3822936082289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15862805209 + ... + 15862805449.

It is an arithmetic number, because the mean of its divisors is an integer number (59154938713).

Almost surely, 2^{3822936084289} is an apocalyptic number.

3822936084289 is the 1955233-rd square number.

3822936084289 is the 977617-th centered octagonal number.

It is an amenable number.

3822936084289 is a deficient number, since it is larger than the sum of its proper divisors (968613951464).

3822936084289 is an frugal number, since it uses more digits than its factorization.

3822936084289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

Multiplying 3822936084289 by its sum of digits (64), we get a square (244667909394496 = 15641864²).

The spelling of 3822936084289 in words is "three trillion, eight hundred twenty-two billion, nine hundred thirty-six million, eighty-four thousand, two hundred eighty-nine".