3422324147200 has 264 divisors, whose sum is σ = 9780963478272. Its totient is φ = 1162977607680.

The previous prime is 3422324147171. The next prime is 3422324147201. The reversal of 3422324147200 is 27414232243.

It is not an unprimeable number, because it can be changed into a prime (3422324147201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20165097 + ... + 20334103.

Almost surely, 2^{3422324147200} 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 3422324147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890481739136).

3422324147200 is an abundant number, since it is smaller than the sum of its proper divisors (6358639331072).

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

3422324147200 is a wasteful number, since it uses less digits than its factorization.

3422324147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169157 (or 169134 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

Adding to 3422324147200 its reverse (27414232243), we get a palindrome (3449738379443).

The spelling of 3422324147200 in words is "three trillion, four hundred twenty-two billion, three hundred twenty-four million, one hundred forty-seven thousand, two hundred".