34007070370667 has 2 divisors, whose sum is σ = 34007070370668. Its totient is φ = 34007070370666.

The previous prime is 34007070370633. The next prime is 34007070370759. The reversal of 34007070370667 is 76607307070043.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34007070370667 - 2¹⁸ = 34007070108523 is a prime.

It is a super-3 number, since 3×34007070370667³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34007070370607) 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, 17003535185333 + 17003535185334.

It is an arithmetic number, because the mean of its divisors is an integer number (17003535185334).

Almost surely, 2^{34007070370667} is an apocalyptic number.

34007070370667 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007070370667 is an equidigital number, since it uses as much as digits as its factorization.

34007070370667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3111696, while the sum is 50.

The spelling of 34007070370667 in words is "thirty-four trillion, seven billion, seventy million, three hundred seventy thousand, six hundred sixty-seven".