344302414221332 has 72 divisors (see below), whose sum is σ = 707790343163904. Its totient is φ = 146108202383808.

The previous prime is 344302414221323. The next prime is 344302414221407. The reversal of 344302414221332 is 233122414203443.

It is a super-3 number, since 3×344302414221332³ (a number of 45 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 169518518 + ... + 171537554.

It is an arithmetic number, because the mean of its divisors is an integer number (9830421432832).

Almost surely, 2^{344302414221332} 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 344302414221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353895171581952).

344302414221332 is an abundant number, since it is smaller than the sum of its proper divisors (363487928942572).

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

344302414221332 is a wasteful number, since it uses less digits than its factorization.

344302414221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027605 (or 2027596 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 344302414221332 its reverse (233122414203443), we get a palindrome (577424828424775).

The spelling of 344302414221332 in words is "three hundred forty-four trillion, three hundred two billion, four hundred fourteen million, two hundred twenty-one thousand, three hundred thirty-two".