344100000000 has 648 divisors, whose sum is σ = 1213624378624. Its totient is φ = 86400000000.

The previous prime is 344099999927. The next prime is 344100000011. The reversal of 344100000000 is 1443.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9299999982 + ... + 9300000018.

Almost surely, 2^344100000000 is an apocalyptic number.

344100000000 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 344100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606812189312).

344100000000 is an abundant number, since it is smaller than the sum of its proper divisors (869524378624).

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

344100000000 is an frugal number, since it uses more digits than its factorization.

344100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 344100000000 its reverse (1443), we get a palindrome (344100001443).

The spelling of 344100000000 in words is "three hundred forty-four billion, one hundred million", and thus it is an aban number.