34042224 has 80 divisors (see below), whose sum is σ = 93545600. Its totient is φ = 10637568.

The previous prime is 34042199. The next prime is 34042237. The reversal of 34042224 is 42224043.

It is a self number, because there is not a number n which added to its sum of digits gives 34042224.

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 15 ways as a sum of consecutive naturals, for example, 148542 + ... + 148770.

It is an arithmetic number, because the mean of its divisors is an integer number (1169320).

Almost surely, 2^34042224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46772800).

34042224 is an abundant number, since it is smaller than the sum of its proper divisors (59503376).

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

34042224 is a wasteful number, since it uses less digits than its factorization.

34042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34042224 is about 5834.5714495582. The cubic root of 34042224 is about 324.0952318751.

Adding to 34042224 its reverse (42224043), we get a palindrome (76266267).

The spelling of 34042224 in words is "thirty-four million, forty-two thousand, two hundred twenty-four".