34222120 has 32 divisors (see below), whose sum is σ = 77322600. Its totient is φ = 13631488.

The previous prime is 34222103. The next prime is 34222121. The reversal of 34222120 is 2122243.

It can be written as a sum of positive squares in 4 ways, for example, as 33016516 + 1205604 = 5746^2 + 1098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34222094 and 34222103.

It is not an unprimeable number, because it can be changed into a prime (34222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8616 + ... + 11944.

Almost surely, 2^34222120 is an apocalyptic number.

It is an amenable number.

34222120 is an abundant number, since it is smaller than the sum of its proper divisors (43100480).

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

34222120 is a wasteful number, since it uses less digits than its factorization.

34222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34222120 is about 5849.9675212774. The cubic root of 34222120 is about 324.6651225190.

Adding to 34222120 its reverse (2122243), we get a palindrome (36344363).

The spelling of 34222120 in words is "thirty-four million, two hundred twenty-two thousand, one hundred twenty".