344301421313400 has 96 divisors (see below), whose sum is σ = 1068379789369200. Its totient is φ = 91723786905600.

The previous prime is 344301421313251. The next prime is 344301421313401. The reversal of 344301421313400 is 4313124103443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344301421313401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280403905 + ... + 281629104.

Almost surely, 2^{344301421313400} is an apocalyptic number.

344301421313400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344301421313400 is an abundant number, since it is smaller than the sum of its proper divisors (724078368055800).

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

344301421313400 is a wasteful number, since it uses less digits than its factorization.

344301421313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562034049 (or 562034040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 344301421313400 its reverse (4313124103443), we get a palindrome (348614545416843).

The spelling of 344301421313400 in words is "three hundred forty-four trillion, three hundred one billion, four hundred twenty-one million, three hundred thirteen thousand, four hundred".