344256000000 has 728 divisors, whose sum is σ = 1259350130112. Its totient is φ = 82944000000.

The previous prime is 344255999999. The next prime is 344256000119. The reversal of 344256000000 is 652443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2111999919 + ... + 2112000081.

Almost surely, 2^344256000000 is an apocalyptic number.

344256000000 is a gapful number since it is divisible by the number (30) 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 344256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629675065056).

344256000000 is an abundant number, since it is smaller than the sum of its proper divisors (915094130112).

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

344256000000 is an frugal number, since it uses more digits than its factorization.

344256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 344256000000 its reverse (652443), we get a palindrome (344256652443).

The spelling of 344256000000 in words is "three hundred forty-four billion, two hundred fifty-six million", and thus it is an aban number.