344042414442300 has 144 divisors (see below), whose sum is σ = 1137715518546432. Its totient is φ = 78632602464000.

The previous prime is 344042414442203. The next prime is 344042414442319. The reversal of 344042414442300 is 3244414240443.

It is a happy number.

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, 23299369 + ... + 35084831.

It is an arithmetic number, because the mean of its divisors is an integer number (7900802212128).

Almost surely, 2^{344042414442300} is an apocalyptic number.

344042414442300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344042414442300 is an abundant number, since it is smaller than the sum of its proper divisors (793673104104132).

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

344042414442300 is a wasteful number, since it uses less digits than its factorization.

344042414442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799388 (or 11799381 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 344042414442300 its reverse (3244414240443), we get a palindrome (347286828682743).

The spelling of 344042414442300 in words is "three hundred forty-four trillion, forty-two billion, four hundred fourteen million, four hundred forty-two thousand, three hundred".