344023242240 has 80 divisors (see below), whose sum is σ = 1099799327088. Its totient is φ = 91739529216.

The previous prime is 344023242239. The next prime is 344023242247. The reversal of 344023242240 is 42242320443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344023242198 and 344023242207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344023242247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22389667 + ... + 22405026.

Almost surely, 2^344023242240 is an apocalyptic number.

344023242240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344023242240 is an abundant number, since it is smaller than the sum of its proper divisors (755776084848).

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

344023242240 is an equidigital number, since it uses as much as digits as its factorization.

344023242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44794719 (or 44794703 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 344023242240 its reverse (42242320443), we get a palindrome (386265562683).

The spelling of 344023242240 in words is "three hundred forty-four billion, twenty-three million, two hundred forty-two thousand, two hundred forty".