4484306736 has 720 divisors, whose sum is σ = 17288893440. Its totient is φ = 1071221760.

The previous prime is 4484306731. The next prime is 4484306737. The reversal of 4484306736 is 6376034844.

It is a junction number, because it is equal to n+sod(n) for n = 4484306691 and 4484306700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4484306731) 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 143 ways as a sum of consecutive naturals, for example, 54027751 + ... + 54027833.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^4484306736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4484306736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644446720).

4484306736 is an abundant number, since it is smaller than the sum of its proper divisors (12804586704).

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

4484306736 is a wasteful number, since it uses less digits than its factorization.

4484306736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4484306736 is about 66964.9664824825. The cubic root of 4484306736 is about 1649.0422033517.

The spelling of 4484306736 in words is "four billion, four hundred eighty-four million, three hundred six thousand, seven hundred thirty-six".