344023242304 has 168 divisors, whose sum is σ = 842305485312. Its totient is φ = 138524037120.

The previous prime is 344023242259. The next prime is 344023242307. The reversal of 344023242304 is 403242320443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (344023242307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32355069 + ... + 32365699.

Almost surely, 2^344023242304 is an apocalyptic number.

344023242304 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 344023242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421152742656).

344023242304 is an abundant number, since it is smaller than the sum of its proper divisors (498282243008).

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

344023242304 is a wasteful number, since it uses less digits than its factorization.

344023242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11281 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 344023242304 its reverse (403242320443), we get a palindrome (747265562747).

The spelling of 344023242304 in words is "three hundred forty-four billion, twenty-three million, two hundred forty-two thousand, three hundred four".