344132243312000 has 1536 divisors, whose sum is σ = 1070762309285760. Its totient is φ = 108415352832000.

The previous prime is 344132243311951. The next prime is 344132243312003. The reversal of 344132243312000 is 213342231443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344132243312003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431784495602 + ... + 431784496398.

Almost surely, 2^{344132243312000} 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 344132243312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535381154642880).

344132243312000 is an abundant number, since it is smaller than the sum of its proper divisors (726630065973760).

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

344132243312000 is a wasteful number, since it uses less digits than its factorization.

344132243312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 344132243312000 its reverse (213342231443), we get a palindrome (344345585543443).

The spelling of 344132243312000 in words is "three hundred forty-four trillion, one hundred thirty-two billion, two hundred forty-three million, three hundred twelve thousand".