344832706416 has 160 divisors (see below), whose sum is σ = 1036824281856. Its totient is φ = 97596928000.

The previous prime is 344832706403. The next prime is 344832706417. The reversal of 344832706416 is 614607238443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344832706417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029226 + ... + 1322486.

Almost surely, 2^344832706416 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 344832706416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518412140928).

344832706416 is an abundant number, since it is smaller than the sum of its proper divisors (691991575440).

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

344832706416 is a wasteful number, since it uses less digits than its factorization.

344832706416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293431 (or 293425 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 344832706416 in words is "three hundred forty-four billion, eight hundred thirty-two million, seven hundred six thousand, four hundred sixteen".