344220331400 has 192 divisors, whose sum is σ = 927590184000. Its totient is φ = 117587635200.

The previous prime is 344220331381. The next prime is 344220331409. The reversal of 344220331400 is 4133022443.

It is a self number, because there is not a number n which added to its sum of digits gives 344220331400.

It is not an unprimeable number, because it can be changed into a prime (344220331409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287691 + ... + 2433509.

It is an arithmetic number, because the mean of its divisors is an integer number (4831198875).

Almost surely, 2^344220331400 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 344220331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463795092000).

344220331400 is an abundant number, since it is smaller than the sum of its proper divisors (583369852600).

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

344220331400 is a wasteful number, since it uses less digits than its factorization.

344220331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145912 (or 145903 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 344220331400 its reverse (4133022443), we get a palindrome (348353353843).

The spelling of 344220331400 in words is "three hundred forty-four billion, two hundred twenty million, three hundred thirty-one thousand, four hundred".