344041031433312 has 240 divisors, whose sum is σ = 1046890453649040. Its totient is φ = 110706262023168.

The previous prime is 344041031433271. The next prime is 344041031433343. The reversal of 344041031433312 is 213334130140443.

344041031433312 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 1 + 0 + 314 + 3 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 427529443 + ... + 428333405.

It is an arithmetic number, because the mean of its divisors is an integer number (4362043556871).

Almost surely, 2^{344041031433312} is an apocalyptic number.

344041031433312 is a gapful number since it is divisible by the number (32) 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 344041031433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523445226824520).

344041031433312 is an abundant number, since it is smaller than the sum of its proper divisors (702849422215728).

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

344041031433312 is a wasteful number, since it uses less digits than its factorization.

344041031433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809707 (or 809690 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 344041031433312 its reverse (213334130140443), we get a palindrome (557375161573755).

The spelling of 344041031433312 in words is "three hundred forty-four trillion, forty-one billion, thirty-one million, four hundred thirty-three thousand, three hundred twelve".