4404675834 has 96 divisors (see below), whose sum is σ = 10706492160. Its totient is φ = 1349151552.

The previous prime is 4404675811. The next prime is 4404675839. The reversal of 4404675834 is 4385764044.

4404675834 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 67 + 583 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4404675834.

It is not an unprimeable number, because it can be changed into a prime (4404675839) 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 47 ways as a sum of consecutive naturals, for example, 1508544 + ... + 1511460.

It is an arithmetic number, because the mean of its divisors is an integer number (111525960).

Almost surely, 2^4404675834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404675834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353246080).

4404675834 is an abundant number, since it is smaller than the sum of its proper divisors (6301816326).

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

4404675834 is a wasteful number, since it uses less digits than its factorization.

4404675834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 4404675834 is about 66367.7318732530. The cubic root of 4404675834 is about 1639.2227918068. Note that the first 3 decimals are identical.

The spelling of 4404675834 in words is "four billion, four hundred four million, six hundred seventy-five thousand, eight hundred thirty-four".