3422314222400 has 84 divisors (see below), whose sum is σ = 8421642920460. Its totient is φ = 1368826368000.

The previous prime is 3422314222373. The next prime is 3422314222417. The reversal of 3422314222400 is 42224132243.

It can be written as a sum of positive squares in 6 ways, for example, as 300251394304 + 3122062828096 = 547952^2 + 1766936^2 .

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 11 ways as a sum of consecutive naturals, for example, 24392450 + ... + 24532350.

It is an arithmetic number, because the mean of its divisors is an integer number (100257653815).

Almost surely, 2^{3422314222400} is an apocalyptic number.

It is an amenable number.

3422314222400 is an abundant number, since it is smaller than the sum of its proper divisors (4999328698060).

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

3422314222400 is a wasteful number, since it uses less digits than its factorization.

3422314222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155212 (or 155197 counting only the distinct ones).

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

Adding to 3422314222400 its reverse (42224132243), we get a palindrome (3464538354643).

The spelling of 3422314222400 in words is "three trillion, four hundred twenty-two billion, three hundred fourteen million, two hundred twenty-two thousand, four hundred".