34978717967769 has 24 divisors (see below), whose sum is σ = 51508236051584. Its totient is φ = 22867568460000.

The previous prime is 34978717967759. The next prime is 34978717967783. The reversal of 34978717967769 is 96776971787943.

34978717967769 is a `hidden beast` number, since 349 + 7 + 8 + 71 + 79 + 6 + 77 + 69 = 666.

It is not a de Polignac number, because 34978717967769 - 2⁸ = 34978717967513 is a prime.

It is a super-2 number, since 2×34978717967769² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34978717967759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96062257 + ... + 96425694.

Almost surely, 2^{34978717967769} is an apocalyptic number.

It is an amenable number.

34978717967769 is a deficient number, since it is larger than the sum of its proper divisors (16529518083815).

34978717967769 is a wasteful number, since it uses less digits than its factorization.

34978717967769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192488349 (or 192488346 counting only the distinct ones).

The product of its digits is 42343959168, while the sum is 90.

The spelling of 34978717967769 in words is "thirty-four trillion, nine hundred seventy-eight billion, seven hundred seventeen million, nine hundred sixty-seven thousand, seven hundred sixty-nine".