34220 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 12992.

The previous prime is 34217. The next prime is 34231. The reversal of 34220 is 2243.

34220 = T₁ + T₂ + ... + T₅₈.

34220 is a nontrivial binomial coefficient, being equal to C(60, 3).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is the 58-th tetrahedral number.

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, 551 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³⁴²²⁰ 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 34220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

34220 is an abundant number, since it is smaller than the sum of its proper divisors (41380).

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

34220 is a wasteful number, since it uses less digits than its factorization.

34220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34220 is about 184.9864859929. The cubic root of 34220 is about 32.4658418237.

Adding to 34220 its reverse (2243), we get a palindrome (36463).

The spelling of 34220 in words is "thirty-four thousand, two hundred twenty".