4085300736 has 360 divisors, whose sum is σ = 13753932192. Its totient is φ = 1162444800.

The previous prime is 4085300717. The next prime is 4085300741. The reversal of 4085300736 is 6370035804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4085300736.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9478441 + ... + 9478871.

Almost surely, 2^4085300736 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 4085300736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876966096).

4085300736 is an abundant number, since it is smaller than the sum of its proper divisors (9668631456).

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

4085300736 is a wasteful number, since it uses less digits than its factorization.

4085300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4085300736 is about 63916.3573430151. The cubic root of 4085300736 is about 1598.6056518905.

The spelling of 4085300736 in words is "four billion, eighty-five million, three hundred thousand, seven hundred thirty-six".