34012224303444 has 36 divisors (see below), whose sum is σ = 85981870618644. Its totient is φ = 11336547549312.

The previous prime is 34012224303413. The next prime is 34012224303599. The reversal of 34012224303444 is 44430342221043.

34012224303444 is a `hidden beast` number, since 3 + 40 + 122 + 24 + 30 + 3 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7374548534544 + 26637675768900 = 2715612^2 + 5161170^2 .

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

It is a super-2 number, since 2×34012224303444² (a number of 28 digits) contains 22 as substring.

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 = 34012224303399 and 34012224303408.

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, 35375367 + ... + 36324110.

Almost surely, 2^{34012224303444} is an apocalyptic number.

It is an amenable number.

34012224303444 is an abundant number, since it is smaller than the sum of its proper divisors (51969646315200).

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

34012224303444 is a wasteful number, since it uses less digits than its factorization.

34012224303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71712664 (or 71712659 counting only the distinct ones).

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

Adding to 34012224303444 its reverse (44430342221043), we get a palindrome (78442566524487).

The spelling of 34012224303444 in words is "thirty-four trillion, twelve billion, two hundred twenty-four million, three hundred three thousand, four hundred forty-four".