3420224333200 has 120 divisors (see below), whose sum is σ = 8495878411520. Its totient is φ = 1321815974400.

The previous prime is 3420224333191. The next prime is 3420224333213. The reversal of 3420224333200 is 23334220243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7452802 + ... + 7898398.

Almost surely, 2^{3420224333200} 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 3420224333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247939205760).

3420224333200 is an abundant number, since it is smaller than the sum of its proper divisors (5075654078320).

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

3420224333200 is a wasteful number, since it uses less digits than its factorization.

3420224333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446265 (or 446254 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 3420224333200 its reverse (23334220243), we get a palindrome (3443558553443).

The spelling of 3420224333200 in words is "three trillion, four hundred twenty billion, two hundred twenty-four million, three hundred thirty-three thousand, two hundred".