344293071744 has 128 divisors (see below), whose sum is σ = 968681825280. Its totient is φ = 107973632000.

The previous prime is 344293071739. The next prime is 344293071757. The reversal of 344293071744 is 447170392443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 344293071693 and 344293071702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21214417 + ... + 21230639.

It is an arithmetic number, because the mean of its divisors is an integer number (7567826760).

Almost surely, 2^344293071744 is an apocalyptic number.

344293071744 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344293071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484340912640).

344293071744 is an abundant number, since it is smaller than the sum of its proper divisors (624388753536).

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

344293071744 is a wasteful number, since it uses less digits than its factorization.

344293071744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19508 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 344293071744 in words is "three hundred forty-four billion, two hundred ninety-three million, seventy-one thousand, seven hundred forty-four".