3420424431200 has 144 divisors (see below), whose sum is σ = 9557090744544. Its totient is φ = 1170983424000.

The previous prime is 3420424431181. The next prime is 3420424431241. The reversal of 3420424431200 is 21344240243.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3340100 + ... + 4242300.

It is an arithmetic number, because the mean of its divisors is an integer number (66368685726).

Almost surely, 2^{3420424431200} 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 3420424431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778545372272).

3420424431200 is an abundant number, since it is smaller than the sum of its proper divisors (6136666313344).

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

3420424431200 is a wasteful number, since it uses less digits than its factorization.

3420424431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902905 (or 902892 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 3420424431200 its reverse (21344240243), we get a palindrome (3441768671443).

The spelling of 3420424431200 in words is "three trillion, four hundred twenty billion, four hundred twenty-four million, four hundred thirty-one thousand, two hundred".