3414332224 has 84 divisors (see below), whose sum is σ = 7572178404. Its totient is φ = 1522003968.

The previous prime is 3414332191. The next prime is 3414332227. The reversal of 3414332224 is 4222334143.

It can be written as a sum of positive squares in 2 ways, for example, as 1265082624 + 2149249600 = 35568^2 + 46360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3414332192 and 3414332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414332227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388422 + ... + 397114.

It is an arithmetic number, because the mean of its divisors is an integer number (90144981).

Almost surely, 2^3414332224 is an apocalyptic number.

3414332224 is a gapful number since it is divisible by the number (34) 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 3414332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786089202).

3414332224 is an abundant number, since it is smaller than the sum of its proper divisors (4157846180).

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

3414332224 is a wasteful number, since it uses less digits than its factorization.

3414332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8731 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 3414332224 is about 58432.2875129838. The cubic root of 3414332224 is about 1505.8045056513.

Adding to 3414332224 its reverse (4222334143), we get a palindrome (7636666367).

The spelling of 3414332224 in words is "three billion, four hundred fourteen million, three hundred thirty-two thousand, two hundred twenty-four".