34334672085 has 24 divisors (see below), whose sum is σ = 68015351040. Its totient is φ = 15695849952.

The previous prime is 34334672083. The next prime is 34334672087. The reversal of 34334672085 is 58027643343.

34334672085 is a `hidden beast` number, since 3 + 433 + 4 + 6 + 7 + 208 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (34334672083) and next prime (34334672087).

It is not a de Polignac number, because 34334672085 - 2¹ = 34334672083 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34334672085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334672083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54499165 + ... + 54499794.

It is an arithmetic number, because the mean of its divisors is an integer number (2833972960).

Almost surely, 2^34334672085 is an apocalyptic number.

34334672085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34334672085 is a deficient number, since it is larger than the sum of its proper divisors (33680678955).

34334672085 is a wasteful number, since it uses less digits than its factorization.

34334672085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108998977 (or 108998974 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34334672085 in words is "thirty-four billion, three hundred thirty-four million, six hundred seventy-two thousand, eighty-five".