344742221952 has 72 divisors (see below), whose sum is σ = 992089003815. Its totient is φ = 114907431168.

The previous prime is 344742221951. The next prime is 344742221959. The reversal of 344742221952 is 259122247443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

344742221952 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 422 + 219 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172371110976 + 172371110976 = 415176^2 + 415176^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=415176.

It is a junction number, because it is equal to n+sod(n) for n = 344742221898 and 344742221907.

It is not an unprimeable number, because it can be changed into a prime (344742221951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19919799 + ... + 19937097.

Almost surely, 2^344742221952 is an apocalyptic number.

344742221952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344742221952 is an abundant number, since it is smaller than the sum of its proper divisors (647346781863).

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

344742221952 is an frugal number, since it uses more digits than its factorization.

344742221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34618 (or 17304 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 344742221952 in words is "three hundred forty-four billion, seven hundred forty-two million, two hundred twenty-one thousand, nine hundred fifty-two".