34234431444 has 36 divisors (see below), whose sum is σ = 89521073460. Its totient is φ = 11017977600.

The previous prime is 34234431431. The next prime is 34234431493. The reversal of 34234431444 is 44413443243.

It can be written as a sum of positive squares in 2 ways, for example, as 24013221444 + 10221210000 = 154962^2 + 101100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 34234431399 and 34234431408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16394757 + ... + 16396844.

It is an arithmetic number, because the mean of its divisors is an integer number (2486696485).

Almost surely, 2^34234431444 is an apocalyptic number.

It is an amenable number.

34234431444 is an abundant number, since it is smaller than the sum of its proper divisors (55286642016).

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

34234431444 is a wasteful number, since it uses less digits than its factorization.

34234431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32791640 (or 32791635 counting only the distinct ones).

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

Adding to 34234431444 its reverse (44413443243), we get a palindrome (78647874687).

The spelling of 34234431444 in words is "thirty-four billion, two hundred thirty-four million, four hundred thirty-one thousand, four hundred forty-four".