344443213400 has 192 divisors, whose sum is σ = 971187840000. Its totient is φ = 111887424000.

The previous prime is 344443213397. The next prime is 344443213421. The reversal of 344443213400 is 4312344443.

It is a super-2 number, since 2×344443213400² (a number of 24 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 47 ways as a sum of consecutive naturals, for example, 692351 + ... + 1080849.

It is an arithmetic number, because the mean of its divisors is an integer number (5058270000).

Almost surely, 2^344443213400 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 344443213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485593920000).

344443213400 is an abundant number, since it is smaller than the sum of its proper divisors (626744626600).

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

344443213400 is a wasteful number, since it uses less digits than its factorization.

344443213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388570 (or 388561 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 344443213400 its reverse (4312344443), we get a palindrome (348755557843).

The spelling of 344443213400 in words is "three hundred forty-four billion, four hundred forty-three million, two hundred thirteen thousand, four hundred".