3420224241120 has 144 divisors (see below), whose sum is σ = 11674103313600. Its totient is φ = 911857554432.

The previous prime is 3420224241073. The next prime is 3420224241139. The reversal of 3420224241120 is 211424220243.

It is a happy number.

3420224241120 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 2 + 242 + 411 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 6289497 + ... + 6811623.

It is an arithmetic number, because the mean of its divisors is an integer number (81070161900).

Almost surely, 2^{3420224241120} is an apocalyptic number.

3420224241120 is a gapful number since it is divisible by the number (30) 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 3420224241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837051656800).

3420224241120 is an abundant number, since it is smaller than the sum of its proper divisors (8253879072480).

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

3420224241120 is a wasteful number, since it uses less digits than its factorization.

3420224241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526697 (or 526686 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3420224241120 its reverse (211424220243), we get a palindrome (3631648461363).

The spelling of 3420224241120 in words is "three trillion, four hundred twenty billion, two hundred twenty-four million, two hundred forty-one thousand, one hundred twenty".