344223354240 has 160 divisors (see below), whose sum is σ = 1229283934560. Its totient is φ = 91792880640.

The previous prime is 344223354229. The next prime is 344223354269. The reversal of 344223354240 is 42453322443.

344223354240 is a `hidden beast` number, since 3 + 4 + 4 + 223 + 3 + 5 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 344223354195 and 344223354204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3268216 + ... + 3371895.

It is an arithmetic number, because the mean of its divisors is an integer number (7683024591).

Almost surely, 2^344223354240 is an apocalyptic number.

344223354240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344223354240 is an abundant number, since it is smaller than the sum of its proper divisors (885060580320).

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

344223354240 is an equidigital number, since it uses as much as digits as its factorization.

344223354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640142 (or 6640121 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 344223354240 its reverse (42453322443), we get a palindrome (386676676683).

The spelling of 344223354240 in words is "three hundred forty-four billion, two hundred twenty-three million, three hundred fifty-four thousand, two hundred forty".