3537345631441 has 2 divisors, whose sum is σ = 3537345631442. Its totient is φ = 3537345631440.

The previous prime is 3537345631409. The next prime is 3537345631453. The reversal of 3537345631441 is 1441365437353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1809842852416 + 1727502779025 = 1345304^2 + 1314345^2 .

It is a cyclic number.

It is not a de Polignac number, because 3537345631441 - 2⁵ = 3537345631409 is a prime.

It is not a weakly prime, because it can be changed into another prime (3537345631471) 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, 1768672815720 + 1768672815721.

It is an arithmetic number, because the mean of its divisors is an integer number (1768672815721).

Almost surely, 2^{3537345631441} is an apocalyptic number.

It is an amenable number.

3537345631441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3537345631441 is an equidigital number, since it uses as much as digits as its factorization.

3537345631441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5443200, while the sum is 49.

The spelling of 3537345631441 in words is "three trillion, five hundred thirty-seven billion, three hundred forty-five million, six hundred thirty-one thousand, four hundred forty-one".