34221300 has 72 divisors (see below), whose sum is σ = 101722656. Its totient is φ = 8876160.

The previous prime is 34221287. The next prime is 34221329. The reversal of 34221300 is 312243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34221300.

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 23 ways as a sum of consecutive naturals, for example, 9559 + ... + 12641.

Almost surely, 2^34221300 is an apocalyptic number.

34221300 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 34221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50861328).

34221300 is an abundant number, since it is smaller than the sum of its proper divisors (67501356).

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

34221300 is a wasteful number, since it uses less digits than its factorization.

34221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34221300 is about 5849.8974349983. The cubic root of 34221300 is about 324.6625293860.

Adding to 34221300 its reverse (312243), we get a palindrome (34533543).

The spelling of 34221300 in words is "thirty-four million, two hundred twenty-one thousand, three hundred".