343220321022400 has 168 divisors, whose sum is σ = 857976861680640. Its totient is φ = 135114435456000.

The previous prime is 343220321022281. The next prime is 343220321022433. The reversal of 343220321022400 is 4220123022343.

It is a super-2 number, since 2×343220321022400² (a number of 30 digits) contains 22 as substring.

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, 34944885 + ... + 43675915.

Almost surely, 2^{343220321022400} 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 343220321022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428988430840320).

343220321022400 is an abundant number, since it is smaller than the sum of its proper divisors (514756540658240).

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

343220321022400 is a wasteful number, since it uses less digits than its factorization.

343220321022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731443 (or 8731428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 343220321022400 its reverse (4220123022343), we get a palindrome (347440444044743).

The spelling of 343220321022400 in words is "three hundred forty-three trillion, two hundred twenty billion, three hundred twenty-one million, twenty-two thousand, four hundred".