34205220 has 96 divisors (see below), whose sum is σ = 121632000. Its totient is φ = 7817472.

The previous prime is 34205189. The next prime is 34205221. The reversal of 34205220 is 2250243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34205193 and 34205202.

It is not an unprimeable number, because it can be changed into a prime (34205221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 745 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (1267000).

Almost surely, 2^34205220 is an apocalyptic number.

34205220 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 34205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60816000).

34205220 is an abundant number, since it is smaller than the sum of its proper divisors (87426780).

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

34205220 is a wasteful number, since it uses less digits than its factorization.

34205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34205220 is about 5848.5228904399. The cubic root of 34205220 is about 324.6116703072.

Adding to 34205220 its reverse (2250243), we get a palindrome (36455463).

The spelling of 34205220 in words is "thirty-four million, two hundred five thousand, two hundred twenty".