3657206372641 has 2 divisors, whose sum is σ = 3657206372642. Its totient is φ = 3657206372640.

The previous prime is 3657206372587. The next prime is 3657206372663. The reversal of 3657206372641 is 1462736027563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3514515087616 + 142691285025 = 1874704^2 + 377745^2 .

It is a cyclic number.

It is not a de Polignac number, because 3657206372641 - 2¹¹ = 3657206370593 is a prime.

It is not a weakly prime, because it can be changed into another prime (3657206322641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1828603186320 + 1828603186321.

It is an arithmetic number, because the mean of its divisors is an integer number (1828603186321).

Almost surely, 2^{3657206372641} is an apocalyptic number.

It is an amenable number.

3657206372641 is a deficient number, since it is larger than the sum of its proper divisors (1).

3657206372641 is an equidigital number, since it uses as much as digits as its factorization.

3657206372641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 52.

The spelling of 3657206372641 in words is "three trillion, six hundred fifty-seven billion, two hundred six million, three hundred seventy-two thousand, six hundred forty-one".