3681485705977 has 2 divisors, whose sum is σ = 3681485705978. Its totient is φ = 3681485705976.

The previous prime is 3681485705957. The next prime is 3681485705983. The reversal of 3681485705977 is 7795075841863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3416272035856 + 265213670121 = 1848316^2 + 514989^2 .

It is a cyclic number.

It is not a de Polignac number, because 3681485705977 - 2³⁵ = 3647125967609 is a prime.

It is not a weakly prime, because it can be changed into another prime (3681485705957) 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 as a sum of consecutive naturals, namely, 1840742852988 + 1840742852989.

It is an arithmetic number, because the mean of its divisors is an integer number (1840742852989).

Almost surely, 2^{3681485705977} is an apocalyptic number.

It is an amenable number.

3681485705977 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681485705977 is an equidigital number, since it uses as much as digits as its factorization.

3681485705977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 355622400, while the sum is 70.

The spelling of 3681485705977 in words is "three trillion, six hundred eighty-one billion, four hundred eighty-five million, seven hundred five thousand, nine hundred seventy-seven".