34221220 has 72 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 12217920.

The previous prime is 34221203. The next prime is 34221251. The reversal of 34221220 is 2212243.

It is a junction number, because it is equal to n+sod(n) for n = 34221194 and 34221203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191091 + ... + 191269.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^34221220 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 34221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

34221220 is an abundant number, since it is smaller than the sum of its proper divisors (46217180).

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

34221220 is a wasteful number, since it uses less digits than its factorization.

34221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

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

The square root of 34221220 is about 5849.8905972676. The cubic root of 34221220 is about 324.6622763952.

Adding to 34221220 its reverse (2212243), we get a palindrome (36433463).

The spelling of 34221220 in words is "thirty-four million, two hundred twenty-one thousand, two hundred twenty".