4085837952 has 256 divisors, whose sum is σ = 12873216000. Its totient is φ = 1147474944.

The previous prime is 4085837939. The next prime is 4085837963. The reversal of 4085837952 is 2597385804.

It is a junction number, because it is equal to n+sod(n) for n = 4085837895 and 4085837904.

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 31 ways as a sum of consecutive naturals, for example, 8824473 + ... + 8824935.

It is an arithmetic number, because the mean of its divisors is an integer number (50286000).

Almost surely, 2^4085837952 is an apocalyptic number.

4085837952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436608000).

4085837952 is an abundant number, since it is smaller than the sum of its proper divisors (8787378048).

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

4085837952 is an equidigital number, since it uses as much as digits as its factorization.

4085837952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 4085837952 is about 63920.5596971741. The cubic root of 4085837952 is about 1598.6757208971.

The spelling of 4085837952 in words is "four billion, eighty-five million, eight hundred thirty-seven thousand, nine hundred fifty-two".