34105830 has 64 divisors (see below), whose sum is σ = 89945856. Its totient is φ = 8208000.

The previous prime is 34105811. The next prime is 34105847. The reversal of 34105830 is 3850143.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34105830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59445 + ... + 60015.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404).

Almost surely, 2^34105830 is an apocalyptic number.

34105830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34105830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928).

34105830 is an abundant number, since it is smaller than the sum of its proper divisors (55840026).

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

34105830 is a wasteful number, since it uses less digits than its factorization.

34105830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34105830 is about 5840.0196917476. The cubic root of 34105830 is about 324.2969575876.

Adding to 34105830 its reverse (3850143), we get a palindrome (37955973).

The spelling of 34105830 in words is "thirty-four million, one hundred five thousand, eight hundred thirty".