34758305564657 has 16 divisors (see below), whose sum is σ = 36878353612800. Its totient is φ = 32667360037200.

The previous prime is 34758305564639. The next prime is 34758305564659. The reversal of 34758305564657 is 75646550385743.

It is a de Polignac number, because none of the positive numbers 2^k-34758305564657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34758305564659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34616594 + ... + 35606532.

It is an arithmetic number, because the mean of its divisors is an integer number (2304897100800).

Almost surely, 2^{34758305564657} is an apocalyptic number.

It is an amenable number.

34758305564657 is a deficient number, since it is larger than the sum of its proper divisors (2120048048143).

34758305564657 is a wasteful number, since it uses less digits than its factorization.

34758305564657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004636.

The product of its (nonzero) digits is 1270080000, while the sum is 68.

The spelling of 34758305564657 in words is "thirty-four trillion, seven hundred fifty-eight billion, three hundred five million, five hundred sixty-four thousand, six hundred fifty-seven".