344838416340 has 192 divisors, whose sum is σ = 1067645617920. Its totient is φ = 82466242560.

The previous prime is 344838416281. The next prime is 344838416353. The reversal of 344838416340 is 43614838443.

It is a self number, because there is not a number n which added to its sum of digits gives 344838416340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20029656 + ... + 20046864.

It is an arithmetic number, because the mean of its divisors is an integer number (5560654260).

Almost surely, 2^344838416340 is an apocalyptic number.

344838416340 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 344838416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533822808960).

344838416340 is an abundant number, since it is smaller than the sum of its proper divisors (722807201580).

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

344838416340 is a wasteful number, since it uses less digits than its factorization.

344838416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17642 (or 17640 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 344838416340 in words is "three hundred forty-four billion, eight hundred thirty-eight million, four hundred sixteen thousand, three hundred forty".