3405577393957 has 2 divisors, whose sum is σ = 3405577393958. Its totient is φ = 3405577393956.

The previous prime is 3405577393927. The next prime is 3405577393969. The reversal of 3405577393957 is 7593937755043.

3405577393957 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., 2064986244036 + 1340591149921 = 1437006^2 + 1157839^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3405577393957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3405577393892 and 3405577393901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3405577393927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1702788696978 + 1702788696979.

It is an arithmetic number, because the mean of its divisors is an integer number (1702788696979).

Almost surely, 2^{3405577393957} is an apocalyptic number.

It is an amenable number.

3405577393957 is a deficient number, since it is larger than the sum of its proper divisors (1).

3405577393957 is an equidigital number, since it uses as much as digits as its factorization.

3405577393957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 375070500, while the sum is 67.

The spelling of 3405577393957 in words is "three trillion, four hundred five billion, five hundred seventy-seven million, three hundred ninety-three thousand, nine hundred fifty-seven".