344343793248 has 288 divisors, whose sum is σ = 1258181255520. Its totient is φ = 90815800320.

The previous prime is 344343793243. The next prime is 344343793249. The reversal of 344343793248 is 842397343443.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 344343793194 and 344343793203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344343793243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 237538 + ... + 863198.

It is an arithmetic number, because the mean of its divisors is an integer number (4368684915).

Almost surely, 2^344343793248 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 344343793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629090627760).

344343793248 is an abundant number, since it is smaller than the sum of its proper divisors (913837462272).

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

344343793248 is a wasteful number, since it uses less digits than its factorization.

344343793248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625707 (or 625686 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 344343793248 in words is "three hundred forty-four billion, three hundred forty-three million, seven hundred ninety-three thousand, two hundred forty-eight".