344333364012 has 192 divisors, whose sum is σ = 998542540800. Its totient is φ = 101704896000.

The previous prime is 344333363953. The next prime is 344333364017. The reversal of 344333364012 is 210463333443.

344333364012 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 3 + 3 + 3 + 640 + 1 + 2 = 666.

It is a super-2 number, since 2×344333364012² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (344333364017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67263189 + ... + 67268307.

It is an arithmetic number, because the mean of its divisors is an integer number (5200742400).

Almost surely, 2^344333364012 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 344333364012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499271270400).

344333364012 is an abundant number, since it is smaller than the sum of its proper divisors (654209176788).

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

344333364012 is a wasteful number, since it uses less digits than its factorization.

344333364012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 344333364012 its reverse (210463333443), we get a palindrome (554796697455).

The spelling of 344333364012 in words is "three hundred forty-four billion, three hundred thirty-three million, three hundred sixty-four thousand, twelve".