344103955608900 has 144 divisors (see below), whose sum is σ = 1018817388388800. Its totient is φ = 89622125322240.

The previous prime is 344103955608893. The next prime is 344103955608947. The reversal of 344103955608900 is 9806559301443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235716436 + ... + 237171764.

It is an arithmetic number, because the mean of its divisors is an integer number (7075120752700).

Almost surely, 2^{344103955608900} is an apocalyptic number.

344103955608900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344103955608900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509408694194400).

344103955608900 is an abundant number, since it is smaller than the sum of its proper divisors (674713432779900).

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

344103955608900 is a wasteful number, since it uses less digits than its factorization.

344103955608900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473718 (or 1473711 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 344103955608900 in words is "three hundred forty-four trillion, one hundred three billion, nine hundred fifty-five million, six hundred eight thousand, nine hundred".