3640311361601 has 2 divisors, whose sum is σ = 3640311361602. Its totient is φ = 3640311361600.

The previous prime is 3640311361553. The next prime is 3640311361619. The reversal of 3640311361601 is 1061631130463.

3640311361601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1907960²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3640311361600 + 1 = 1907960^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 3640311361601 - 2²⁶ = 3640244252737 is a prime.

It is not a weakly prime, because it can be changed into another prime (3640311361201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1820155680800 + 1820155680801.

It is an arithmetic number, because the mean of its divisors is an integer number (1820155680801).

Almost surely, 2^{3640311361601} is an apocalyptic number.

It is an amenable number.

3640311361601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3640311361601 is an equidigital number, since it uses as much as digits as its factorization.

3640311361601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 3640311361601 in words is "three trillion, six hundred forty billion, three hundred eleven million, three hundred sixty-one thousand, six hundred one".