34444224 has 112 divisors (see below), whose sum is σ = 104688640. Its totient is φ = 11093760.

The previous prime is 34444217. The next prime is 34444229. The reversal of 34444224 is 42244443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53247 + ... + 53889.

It is an arithmetic number, because the mean of its divisors is an integer number (934720).

Almost surely, 2^34444224 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 34444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344320).

34444224 is an abundant number, since it is smaller than the sum of its proper divisors (70244416).

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

34444224 is a wasteful number, since it uses less digits than its factorization.

34444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 34444224 is about 5868.9201732516. The cubic root of 34444224 is about 325.3659751058.

Adding to 34444224 its reverse (42244443), we get a palindrome (76688667).

The spelling of 34444224 in words is "thirty-four million, four hundred forty-four thousand, two hundred twenty-four".