34224256 has 64 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 15344640.

The previous prime is 34224251. The next prime is 34224277. The reversal of 34224256 is 65242243.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34224251) 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, 153361 + ... + 153583.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^34224256 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 34224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

34224256 is an abundant number, since it is smaller than the sum of its proper divisors (41174144).

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

34224256 is a wasteful number, since it uses less digits than its factorization.

34224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 34224256 is about 5850.1500835449. The cubic root of 34224256 is about 324.6718771197.

Adding to 34224256 its reverse (65242243), we get a palindrome (99466499).

The spelling of 34224256 in words is "thirty-four million, two hundred twenty-four thousand, two hundred fifty-six".