344040000000000 has 1144 divisors, whose sum is σ = 1190254663123584. Its totient is φ = 88320000000000.

The previous prime is 344039999999947. The next prime is 344040000000071. The reversal of 344040000000000 is 40443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 344039999999898 and 344039999999907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 5639999999970 + ... + 5640000000030.

Almost surely, 2^{344040000000000} is an apocalyptic number.

344040000000000 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 344040000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595127331561792).

344040000000000 is an abundant number, since it is smaller than the sum of its proper divisors (846214663123584).

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

344040000000000 is an frugal number, since it uses more digits than its factorization.

344040000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 344040000000000 its reverse (40443), we get a palindrome (344040000040443).

The spelling of 344040000000000 in words is "three hundred forty-four trillion, forty billion", and thus it is an aban number.