34429053742317 has 36 divisors (see below), whose sum is σ = 53862487941600. Its totient is φ = 21182421458016.

The previous prime is 34429053742283. The next prime is 34429053742357. The reversal of 34429053742317 is 71324735092443.

34429053742317 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 90 + 537 + 4 + 2 + 3 + 17 = 666.

It is not a de Polignac number, because 34429053742317 - 2¹⁰ = 34429053741293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34429053742357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4377184 + ... + 9381782.

It is an arithmetic number, because the mean of its divisors is an integer number (1496180220600).

Almost surely, 2^{34429053742317} is an apocalyptic number.

It is an amenable number.

34429053742317 is a deficient number, since it is larger than the sum of its proper divisors (19433434199283).

34429053742317 is a wasteful number, since it uses less digits than its factorization.

34429053742317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009154 (or 5009138 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 34429053742317 in words is "thirty-four trillion, four hundred twenty-nine billion, fifty-three million, seven hundred forty-two thousand, three hundred seventeen".