34414288677 has 24 divisors (see below), whose sum is σ = 50122382336. Its totient is φ = 22752467136.

The previous prime is 34414288609. The next prime is 34414288679. The reversal of 34414288677 is 77688241443.

34414288677 is a `hidden beast` number, since 34 + 41 + 428 + 86 + 77 = 666.

It is not a de Polignac number, because 34414288677 - 2¹⁹ = 34413764389 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414288679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3500673 + ... + 3510489.

Almost surely, 2^34414288677 is an apocalyptic number.

It is an amenable number.

34414288677 is a deficient number, since it is larger than the sum of its proper divisors (15708093659).

34414288677 is a wasteful number, since it uses less digits than its factorization.

34414288677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 13014 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 34414288677 in words is "thirty-four billion, four hundred fourteen million, two hundred eighty-eight thousand, six hundred seventy-seven".