34112220 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 8236800.

The previous prime is 34112213. The next prime is 34112249. The reversal of 34112220 is 2221143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25570 + ... + 26870.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^34112220 is an apocalyptic number.

34112220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

34112220 is an abundant number, since it is smaller than the sum of its proper divisors (70881060).

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

34112220 is a wasteful number, since it uses less digits than its factorization.

34112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34112220 is about 5840.5667533211. The cubic root of 34112220 is about 324.3172095324.

Adding to 34112220 its reverse (2221143), we get a palindrome (36333363).

It can be divided in two parts, 341 and 12220, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 34112220 in words is "thirty-four million, one hundred twelve thousand, two hundred twenty".