34088166 has 96 divisors (see below), whose sum is σ = 92102400. Its totient is φ = 8890560.

The previous prime is 34088161. The next prime is 34088209. The reversal of 34088166 is 66188043.

It is a happy number.

It is a super-2 number, since 2×34088166² = 2324006122487112, which contains 22 as substring.

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 34088166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34088161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69181 + ... + 69671.

It is an arithmetic number, because the mean of its divisors is an integer number (959400).

Almost surely, 2^34088166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34088166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051200).

34088166 is an abundant number, since it is smaller than the sum of its proper divisors (58014234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34088166 is a wasteful number, since it uses less digits than its factorization.

34088166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34088166 is about 5838.5071722145. The cubic root of 34088166 is about 324.2409615826.

The spelling of 34088166 in words is "thirty-four million, eighty-eight thousand, one hundred sixty-six".