344104024400 has 120 divisors (see below), whose sum is σ = 890177221440. Its totient is φ = 127349217280.

The previous prime is 344104024399. The next prime is 344104024457. The reversal of 344104024400 is 4420401443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344104024400.

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, 27644 + ... + 830043.

It is an arithmetic number, because the mean of its divisors is an integer number (7418143512).

Almost surely, 2^344104024400 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 344104024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445088610720).

344104024400 is an abundant number, since it is smaller than the sum of its proper divisors (546073197040).

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

344104024400 is a wasteful number, since it uses less digits than its factorization.

344104024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857781 (or 857770 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 344104024400 its reverse (4420401443), we get a palindrome (348524425843).

The spelling of 344104024400 in words is "three hundred forty-four billion, one hundred four million, twenty-four thousand, four hundred".