344133340412100 has 72 divisors (see below), whose sum is σ = 1054262609936928. Its totient is φ = 86370720729600.

The previous prime is 344133340412077. The next prime is 344133340412123. The reversal of 344133340412100 is 1214043331443.

It is an interprime number because it is at equal distance from previous prime (344133340412077) and next prime (344133340412123).

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 23 ways as a sum of consecutive naturals, for example, 33738557686 + ... + 33738567885.

It is an arithmetic number, because the mean of its divisors is an integer number (14642536249124).

Almost surely, 2^{344133340412100} is an apocalyptic number.

344133340412100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344133340412100 is an abundant number, since it is smaller than the sum of its proper divisors (710129269524828).

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

344133340412100 is a wasteful number, since it uses less digits than its factorization.

344133340412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67477125605 (or 67477125598 counting only the distinct ones).

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

Adding to 344133340412100 its reverse (1214043331443), we get a palindrome (345347383743543).

The spelling of 344133340412100 in words is "three hundred forty-four trillion, one hundred thirty-three billion, three hundred forty million, four hundred twelve thousand, one hundred".