344024313340100 has 72 divisors (see below), whose sum is σ = 746731327802880. Its totient is φ = 137573127457920.

The previous prime is 344024313340039. The next prime is 344024313340109. The reversal of 344024313340100 is 1043313420443.

It is not an unprimeable number, because it can be changed into a prime (344024313340109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12891068957 + ... + 12891095643.

Almost surely, 2^{344024313340100} is an apocalyptic number.

It is an amenable number.

344024313340100 is an abundant number, since it is smaller than the sum of its proper divisors (402707014462780).

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

344024313340100 is a wasteful number, since it uses less digits than its factorization.

344024313340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56157 (or 56150 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 344024313340100 its reverse (1043313420443), we get a palindrome (345067626760543).

The spelling of 344024313340100 in words is "three hundred forty-four trillion, twenty-four billion, three hundred thirteen million, three hundred forty thousand, one hundred".