344138742948 has 288 divisors, whose sum is σ = 1100011207680. Its totient is φ = 82314005760.

The previous prime is 344138742931. The next prime is 344138742977. The reversal of 344138742948 is 849247831443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36908215 + ... + 36917537.

It is an arithmetic number, because the mean of its divisors is an integer number (3819483360).

Almost surely, 2^344138742948 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 344138742948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550005603840).

344138742948 is an abundant number, since it is smaller than the sum of its proper divisors (755872464732).

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

344138742948 is a wasteful number, since it uses less digits than its factorization.

344138742948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807 (or 9798 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 344138742948 in words is "three hundred forty-four billion, one hundred thirty-eight million, seven hundred forty-two thousand, nine hundred forty-eight".