34186253085 has 24 divisors (see below), whose sum is σ = 59563213944. Its totient is φ = 18138193920.

The previous prime is 34186253081. The next prime is 34186253093. The reversal of 34186253085 is 58035268143.

34186253085 is a `hidden beast` number, since 3 + 4 + 18 + 625 + 3 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1930811481 + 32255441604 = 43941^2 + 179598^2 .

It is not a de Polignac number, because 34186253085 - 2² = 34186253081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34186253085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34186253081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959436 + ... + 1976805.

It is an arithmetic number, because the mean of its divisors is an integer number (2481800581).

Almost surely, 2^34186253085 is an apocalyptic number.

It is an amenable number.

34186253085 is a deficient number, since it is larger than the sum of its proper divisors (25376960859).

34186253085 is a wasteful number, since it uses less digits than its factorization.

34186253085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936445 (or 3936442 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 34186253085 in words is "thirty-four billion, one hundred eighty-six million, two hundred fifty-three thousand, eighty-five".