344434412421024 has 192 divisors, whose sum is σ = 960597530145792. Its totient is φ = 107688734208000.

The previous prime is 344434412421023. The next prime is 344434412421067. The reversal of 344434412421024 is 420124214434443.

It is not an unprimeable number, because it can be changed into a prime (344434412421023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377904819 + ... + 1378154765.

It is an arithmetic number, because the mean of its divisors is an integer number (5003112136176).

Almost surely, 2^{344434412421024} is an apocalyptic number.

344434412421024 is a gapful number since it is divisible by the number (34) 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 344434412421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480298765072896).

344434412421024 is an abundant number, since it is smaller than the sum of its proper divisors (616163117724768).

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

344434412421024 is a wasteful number, since it uses less digits than its factorization.

344434412421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252859 (or 252851 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 344434412421024 its reverse (420124214434443), we get a palindrome (764558626855467).

The spelling of 344434412421024 in words is "three hundred forty-four trillion, four hundred thirty-four billion, four hundred twelve million, four hundred twenty-one thousand, twenty-four".