344333424201312 has 576 divisors, whose sum is σ = 1146123087782400. Its totient is φ = 88577648640000.

The previous prime is 344333424201287. The next prime is 344333424201373. The reversal of 344333424201312 is 213102424333443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39583099939 + ... + 39583108637.

It is an arithmetic number, because the mean of its divisors is an integer number (1989797027400).

Almost surely, 2^{344333424201312} is an apocalyptic number.

344333424201312 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 344333424201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573061543891200).

344333424201312 is an abundant number, since it is smaller than the sum of its proper divisors (801789663581088).

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

344333424201312 is a wasteful number, since it uses less digits than its factorization.

344333424201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17287 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 344333424201312 its reverse (213102424333443), we get a palindrome (557435848534755).

The spelling of 344333424201312 in words is "three hundred forty-four trillion, three hundred thirty-three billion, four hundred twenty-four million, two hundred one thousand, three hundred twelve".