3420042224 has 80 divisors (see below), whose sum is σ = 7171041024. Its totient is φ = 1575974400.

The previous prime is 3420042221. The next prime is 3420042251. The reversal of 3420042224 is 4222400243.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 3420042224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420042221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250939 + ... + 1253669.

Almost surely, 2^3420042224 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 3420042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585520512).

3420042224 is an abundant number, since it is smaller than the sum of its proper divisors (3750998800).

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

3420042224 is a wasteful number, since it uses less digits than its factorization.

3420042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 3420042224 is about 58481.1270753223. The cubic root of 3420042224 is about 1506.6434549726.

Adding to 3420042224 its reverse (4222400243), we get a palindrome (7642442467).

The spelling of 3420042224 in words is "three billion, four hundred twenty million, forty-two thousand, two hundred twenty-four".