344200014032 has 80 divisors (see below), whose sum is σ = 771087611520. Its totient is φ = 145787406336.

The previous prime is 344200014019. The next prime is 344200014079. The reversal of 344200014032 is 230410002443.

It is a junction number, because it is equal to n+sod(n) for n = 344200013989 and 344200014007.

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 15 ways as a sum of consecutive naturals, for example, 24643883 + ... + 24657845.

It is an arithmetic number, because the mean of its divisors is an integer number (9638595144).

Almost surely, 2^344200014032 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 344200014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385543805760).

344200014032 is an abundant number, since it is smaller than the sum of its proper divisors (426887597488).

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

344200014032 is a wasteful number, since it uses less digits than its factorization.

344200014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16540 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 344200014032 its reverse (230410002443), we get a palindrome (574610016475).

The spelling of 344200014032 in words is "three hundred forty-four billion, two hundred million, fourteen thousand, thirty-two".