3437742558401 has 2 divisors, whose sum is σ = 3437742558402. Its totient is φ = 3437742558400.

The previous prime is 3437742558301. The next prime is 3437742558413. The reversal of 3437742558401 is 1048552477343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3422041215376 + 15701343025 = 1849876^2 + 125305^2 .

It is a cyclic number.

It is not a de Polignac number, because 3437742558401 - 2³⁰ = 3436668816577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3437742558431) 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, 1718871279200 + 1718871279201.

It is an arithmetic number, because the mean of its divisors is an integer number (1718871279201).

Almost surely, 2^{3437742558401} is an apocalyptic number.

It is an amenable number.

3437742558401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3437742558401 is an equidigital number, since it uses as much as digits as its factorization.

3437742558401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11289600, while the sum is 53.

The spelling of 3437742558401 in words is "three trillion, four hundred thirty-seven billion, seven hundred forty-two million, five hundred fifty-eight thousand, four hundred one".