34443241344 has 96 divisors (see below), whose sum is σ = 104330608200. Its totient is φ = 10876806144.

The previous prime is 34443241321. The next prime is 34443241367. The reversal of 34443241344 is 44314234443.

34443241344 is a `hidden beast` number, since 34 + 4 + 43 + 241 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (34443241321) and next prime (34443241367).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34443241299 and 34443241308.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 764919 + ... + 808694.

Almost surely, 2^34443241344 is an apocalyptic number.

It is an amenable number.

34443241344 is an abundant number, since it is smaller than the sum of its proper divisors (69887366856).

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

34443241344 is a wasteful number, since it uses less digits than its factorization.

34443241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573652 (or 1573637 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 34443241344 its reverse (44314234443), we get a palindrome (78757475787).

The spelling of 34443241344 in words is "thirty-four billion, four hundred forty-three million, two hundred forty-one thousand, three hundred forty-four".