34414224 has 80 divisors (see below), whose sum is σ = 96702144. Its totient is φ = 10483200.

The previous prime is 34414223. The next prime is 34414229. The reversal of 34414224 is 42241443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 34414194 and 34414203.

It is not an unprimeable number, because it can be changed into a prime (34414223) 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, 81534 + ... + 81954.

Almost surely, 2^34414224 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 34414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48351072).

34414224 is an abundant number, since it is smaller than the sum of its proper divisors (62287920).

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

34414224 is a wasteful number, since it uses less digits than its factorization.

34414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 34414224 is about 5866.3637800600. The cubic root of 34414224 is about 325.2714859739.

Adding to 34414224 its reverse (42241443), we get a palindrome (76655667).

The spelling of 34414224 in words is "thirty-four million, four hundred fourteen thousand, two hundred twenty-four".