344123666010 has 96 divisors (see below), whose sum is σ = 903875336208. Its totient is φ = 90828057600.

The previous prime is 344123666009. The next prime is 344123666017. The reversal of 344123666010 is 10666321443.

It can be written as a sum of positive squares in 8 ways, for example, as 76277049489 + 267846616521 = 276183^2 + 517539^2 .

It is not an unprimeable number, because it can be changed into a prime (344123666017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50655174 + ... + 50661966.

Almost surely, 2^344123666010 is an apocalyptic number.

344123666010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344123666010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451937668104).

344123666010 is an abundant number, since it is smaller than the sum of its proper divisors (559751670198).

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

344123666010 is a wasteful number, since it uses less digits than its factorization.

344123666010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 12477 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 344123666010 its reverse (10666321443), we get a palindrome (354789987453).

The spelling of 344123666010 in words is "three hundred forty-four billion, one hundred twenty-three million, six hundred sixty-six thousand, ten".