4434300034344 has 96 divisors (see below), whose sum is σ = 12513065292000. Its totient is φ = 1416863822976.

The previous prime is 4434300034247. The next prime is 4434300034349.

4434300034344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 300 + 0 + 3 + 4 + 344 = 666.

4434300034344 is nontrivially palindromic in base 10.

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 = 4434300034299 and 4434300034308.

It is not an unprimeable number, because it can be changed into a prime (4434300034349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7349002 + ... + 7929465.

It is an arithmetic number, because the mean of its divisors is an integer number (130344430125).

Almost surely, 2^{4434300034344} is an apocalyptic number.

It is an amenable number.

4434300034344 is an abundant number, since it is smaller than the sum of its proper divisors (8078765257656).

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

4434300034344 is a wasteful number, since it uses less digits than its factorization.

4434300034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278647 (or 15278640 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 44343000 and 34344, that added together give a palindrome (44377344).

The spelling of 4434300034344 in words is "four trillion, four hundred thirty-four billion, three hundred million, thirty-four thousand, three hundred forty-four".