3983616289801 has 2 divisors, whose sum is σ = 3983616289802. Its totient is φ = 3983616289800.

The previous prime is 3983616289747. The next prime is 3983616289831. The reversal of 3983616289801 is 1089826163893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2762759244025 + 1220857045776 = 1662155^2 + 1104924^2 .

It is a cyclic number.

It is not a de Polignac number, because 3983616289801 - 2¹¹ = 3983616287753 is a prime.

It is not a weakly prime, because it can be changed into another prime (3983616289831) 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 as a sum of consecutive naturals, namely, 1991808144900 + 1991808144901.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808144901).

Almost surely, 2^{3983616289801} is an apocalyptic number.

It is an amenable number.

3983616289801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3983616289801 is an equidigital number, since it uses as much as digits as its factorization.

3983616289801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26873856, while the sum is 64.

The spelling of 3983616289801 in words is "three trillion, nine hundred eighty-three billion, six hundred sixteen million, two hundred eighty-nine thousand, eight hundred one".