3481756211761 has 2 divisors, whose sum is σ = 3481756211762. Its totient is φ = 3481756211760.

The previous prime is 3481756211729. The next prime is 3481756211777. The reversal of 3481756211761 is 1671126571843.

3481756211761 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2135599354161 + 1346156857600 = 1461369^2 + 1160240^2 .

It is a cyclic number.

It is not a de Polignac number, because 3481756211761 - 2⁵ = 3481756211729 is a prime.

It is a super-2 number, since 2×3481756211761² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3481756211699 and 3481756211708.

It is not a weakly prime, because it can be changed into another prime (3481756211161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1740878105880 + 1740878105881.

It is an arithmetic number, because the mean of its divisors is an integer number (1740878105881).

Almost surely, 2^{3481756211761} is an apocalyptic number.

It is an amenable number.

3481756211761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3481756211761 is an equidigital number, since it uses as much as digits as its factorization.

3481756211761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1693440, while the sum is 52.

The spelling of 3481756211761 in words is "three trillion, four hundred eighty-one billion, seven hundred fifty-six million, two hundred eleven thousand, seven hundred sixty-one".