3420412444224 has 168 divisors, whose sum is σ = 9906250740672. Its totient is φ = 1128261657600.

The previous prime is 3420412444181. The next prime is 3420412444261. The reversal of 3420412444224 is 4224442140243.

3420412444224 is a `hidden beast` number, since 3 + 4 + 204 + 1 + 2 + 4 + 442 + 2 + 4 = 666.

3420412444224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86065062 + ... + 86104794.

Almost surely, 2^{3420412444224} 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 3420412444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953125370336).

3420412444224 is an abundant number, since it is smaller than the sum of its proper divisors (6485838296448).

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

3420412444224 is a wasteful number, since it uses less digits than its factorization.

3420412444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41305 (or 41292 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 3420412444224 its reverse (4224442140243), we get a palindrome (7644854584467).

The spelling of 3420412444224 in words is "three trillion, four hundred twenty billion, four hundred twelve million, four hundred forty-four thousand, two hundred twenty-four".