3461605457 has 2 divisors, whose sum is σ = 3461605458. Its totient is φ = 3461605456.

The previous prime is 3461605403. The next prime is 3461605493. The reversal of 3461605457 is 7545061643.

3461605457 is digitally balanced in base 2, because in such base 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., 3373170241 + 88435216 = 58079^2 + 9404^2 .

It is a cyclic number.

It is not a de Polignac number, because 3461605457 - 2²⁶ = 3394496593 is a prime.

It is not a weakly prime, because it can be changed into another prime (3461605657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1730802728 + 1730802729.

It is an arithmetic number, because the mean of its divisors is an integer number (1730802729).

Almost surely, 2^3461605457 is an apocalyptic number.

It is an amenable number.

3461605457 is a deficient number, since it is larger than the sum of its proper divisors (1).

3461605457 is an equidigital number, since it uses as much as digits as its factorization.

3461605457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 3461605457 is about 58835.4098906432. The cubic root of 3461605457 is about 1512.7222295964.

The spelling of 3461605457 in words is "three billion, four hundred sixty-one million, six hundred five thousand, four hundred fifty-seven".