344141313100 has 144 divisors (see below), whose sum is σ = 808710739200. Its totient is φ = 126362200320.

The previous prime is 344141313097. The next prime is 344141313107. The reversal of 344141313100 is 1313141443.

It is a happy number.

It is a super-2 number, since 2×344141313100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (344141313107) 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, 217948111 + ... + 217949689.

It is an arithmetic number, because the mean of its divisors is an integer number (5616046800).

Almost surely, 2^344141313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344141313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404355369600).

344141313100 is an abundant number, since it is smaller than the sum of its proper divisors (464569426100).

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

344141313100 is a wasteful number, since it uses less digits than its factorization.

344141313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 344141313100 its reverse (1313141443), we get a palindrome (345454454543).

The spelling of 344141313100 in words is "three hundred forty-four billion, one hundred forty-one million, three hundred thirteen thousand, one hundred".