34013400376763 has 2 divisors, whose sum is σ = 34013400376764. Its totient is φ = 34013400376762.

The previous prime is 34013400376757. The next prime is 34013400376811. The reversal of 34013400376763 is 36767300431043.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34013400376763 - 2¹⁰ = 34013400375739 is a prime.

It is a super-2 number, since 2×34013400376763² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34013400376723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006700188381 + 17006700188382.

It is an arithmetic number, because the mean of its divisors is an integer number (17006700188382).

Almost surely, 2^{34013400376763} is an apocalyptic number.

34013400376763 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013400376763 is an equidigital number, since it uses as much as digits as its factorization.

34013400376763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 47.

The spelling of 34013400376763 in words is "thirty-four trillion, thirteen billion, four hundred million, three hundred seventy-six thousand, seven hundred sixty-three".