34344077106667 has 2 divisors, whose sum is σ = 34344077106668. Its totient is φ = 34344077106666.

The previous prime is 34344077106653. The next prime is 34344077106727. The reversal of 34344077106667 is 76660177044343.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34344077106667 is a prime.

It is not a weakly prime, because it can be changed into another prime (34344077106607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17172038553333 + 17172038553334.

It is an arithmetic number, because the mean of its divisors is an integer number (17172038553334).

Almost surely, 2^{34344077106667} is an apocalyptic number.

34344077106667 is a deficient number, since it is larger than the sum of its proper divisors (1).

34344077106667 is an equidigital number, since it uses as much as digits as its factorization.

34344077106667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42674688, while the sum is 58.

The spelling of 34344077106667 in words is "thirty-four trillion, three hundred forty-four billion, seventy-seven million, one hundred six thousand, six hundred sixty-seven".