34412224 has 56 divisors (see below), whose sum is σ = 85148928. Its totient is φ = 13405440.

The previous prime is 34412221. The next prime is 34412227. The reversal of 34412224 is 42221443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34412221) and next prime (34412227).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34412195 and 34412204.

It is not an unprimeable number, because it can be changed into a prime (34412221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437 + ... + 8419.

Almost surely, 2^34412224 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 34412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42574464).

34412224 is an abundant number, since it is smaller than the sum of its proper divisors (50736704).

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

34412224 is a wasteful number, since it uses less digits than its factorization.

34412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7003 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 34412224 is about 5866.1933142371. The cubic root of 34412224 is about 325.2651847463.

Adding to 34412224 its reverse (42221443), we get a palindrome (76633667).

It can be divided in two parts, 3441 and 2224, that added together give a palindrome (5665).

The spelling of 34412224 in words is "thirty-four million, four hundred twelve thousand, two hundred twenty-four".