34404331393 has 2 divisors, whose sum is σ = 34404331394. Its totient is φ = 34404331392.

The previous prime is 34404331277. The next prime is 34404331421. The reversal of 34404331393 is 39313340443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32467715344 + 1936616049 = 180188^2 + 44007^2 .

It is a cyclic number.

It is not a de Polignac number, because 34404331393 - 2¹⁷ = 34404200321 is a prime.

It is not a weakly prime, because it can be changed into another prime (38404331393) 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, 17202165696 + 17202165697.

It is an arithmetic number, because the mean of its divisors is an integer number (17202165697).

Almost surely, 2^34404331393 is an apocalyptic number.

It is an amenable number.

34404331393 is a deficient number, since it is larger than the sum of its proper divisors (1).

34404331393 is an equidigital number, since it uses as much as digits as its factorization.

34404331393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 34404331393 in words is "thirty-four billion, four hundred four million, three hundred thirty-one thousand, three hundred ninety-three".