34040764993 has 2 divisors, whose sum is σ = 34040764994. Its totient is φ = 34040764992.

The previous prime is 34040764951. The next prime is 34040764999. The reversal of 34040764993 is 39946704043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22425961009 + 11614803984 = 149753^2 + 107772^2 .

It is a cyclic number.

It is not a de Polignac number, because 34040764993 - 2⁹ = 34040764481 is a prime.

It is not a weakly prime, because it can be changed into another prime (34040764999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020382496 + 17020382497.

It is an arithmetic number, because the mean of its divisors is an integer number (17020382497).

Almost surely, 2^34040764993 is an apocalyptic number.

It is an amenable number.

34040764993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040764993 is an equidigital number, since it uses as much as digits as its factorization.

34040764993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 34040764993 in words is "thirty-four billion, forty million, seven hundred sixty-four thousand, nine hundred ninety-three".