344104107700 has 144 divisors (see below), whose sum is σ = 804726244224. Its totient is φ = 127249920000.

The previous prime is 344104107661. The next prime is 344104107707. The reversal of 344104107700 is 7701401443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344104107707) 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, 31143577 + ... + 31154623.

It is an arithmetic number, because the mean of its divisors is an integer number (5588376696).

Almost surely, 2^344104107700 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 344104107700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402363122112).

344104107700 is an abundant number, since it is smaller than the sum of its proper divisors (460622136524).

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

344104107700 is a wasteful number, since it uses less digits than its factorization.

344104107700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 344104107700 in words is "three hundred forty-four billion, one hundred four million, one hundred seven thousand, seven hundred".