344352205440 has 192 divisors, whose sum is σ = 1191702269160. Its totient is φ = 91625619456.

The previous prime is 344352205433. The next prime is 344352205501. The reversal of 344352205440 is 44502253443.

344352205440 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 5 + 2 + 205 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 344306074176 + 46131264 = 586776^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344352205395 and 344352205404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2566912 + ... + 2697728.

Almost surely, 2^344352205440 is an apocalyptic number.

344352205440 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 344352205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595851134580).

344352205440 is an abundant number, since it is smaller than the sum of its proper divisors (847350063720).

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

344352205440 is a wasteful number, since it uses less digits than its factorization.

344352205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131299 (or 131284 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 344352205440 its reverse (44502253443), we get a palindrome (388854458883).

The spelling of 344352205440 in words is "three hundred forty-four billion, three hundred fifty-two million, two hundred five thousand, four hundred forty".