34800386497 has 2 divisors, whose sum is σ = 34800386498. Its totient is φ = 34800386496.

The previous prime is 34800386447. The next prime is 34800386507. The reversal of 34800386497 is 79468300843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31894745281 + 2905641216 = 178591^2 + 53904^2 .

It is a cyclic number.

It is not a de Polignac number, because 34800386497 - 2¹¹ = 34800384449 is a prime.

It is a super-2 number, since 2×34800386497² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34800386447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400193248 + 17400193249.

It is an arithmetic number, because the mean of its divisors is an integer number (17400193249).

Almost surely, 2^34800386497 is an apocalyptic number.

It is an amenable number.

34800386497 is a deficient number, since it is larger than the sum of its proper divisors (1).

34800386497 is an equidigital number, since it uses as much as digits as its factorization.

34800386497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 34800386497 in words is "thirty-four billion, eight hundred million, three hundred eighty-six thousand, four hundred ninety-seven".