34007070370417 has 2 divisors, whose sum is σ = 34007070370418. Its totient is φ = 34007070370416.

The previous prime is 34007070370369. The next prime is 34007070370439. The reversal of 34007070370417 is 71407307070043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32722930396816 + 1284139973601 = 5720396^2 + 1133199^2 .

It is a cyclic number.

It is not a de Polignac number, because 34007070370417 - 2⁴³ = 25210977348209 is a prime.

It is not a weakly prime, because it can be changed into another prime (34007070370447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003535185208 + 17003535185209.

It is an arithmetic number, because the mean of its divisors is an integer number (17003535185209).

Almost surely, 2^{34007070370417} is an apocalyptic number.

It is an amenable number.

34007070370417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007070370417 is an equidigital number, since it uses as much as digits as its factorization.

34007070370417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345744, while the sum is 43.

The spelling of 34007070370417 in words is "thirty-four trillion, seven billion, seventy million, three hundred seventy thousand, four hundred seventeen".