34193873727 has 48 divisors (see below), whose sum is σ = 54270984768. Its totient is φ = 20617597440.

The previous prime is 34193873723. The next prime is 34193873783. The reversal of 34193873727 is 72737839143.

34193873727 is a `hidden beast` number, since 3 + 4 + 193 + 87 + 372 + 7 = 666.

It is not a de Polignac number, because 34193873727 - 2² = 34193873723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34193873723) 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 47 ways as a sum of consecutive naturals, for example, 1867923 + ... + 1886139.

It is an arithmetic number, because the mean of its divisors is an integer number (1130645516).

Almost surely, 2^34193873727 is an apocalyptic number.

34193873727 is a deficient number, since it is larger than the sum of its proper divisors (20077111041).

34193873727 is a wasteful number, since it uses less digits than its factorization.

34193873727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18560 (or 18557 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 34193873727 in words is "thirty-four billion, one hundred ninety-three million, eight hundred seventy-three thousand, seven hundred twenty-seven".