36008442820 has 144 divisors (see below), whose sum is σ = 90105084720. Its totient is φ = 12048777216.

The previous prime is 36008442791. The next prime is 36008442829. The reversal of 36008442820 is 2824480063.

It can be written as a sum of positive squares in 8 ways, for example, as 303317056 + 35705125764 = 17416^2 + 188958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36008442820.

It is not an unprimeable number, because it can be changed into a prime (36008442829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6936786 + ... + 6941974.

It is an arithmetic number, because the mean of its divisors is an integer number (625729755).

Almost surely, 2^36008442820 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 36008442820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45052542360).

36008442820 is an abundant number, since it is smaller than the sum of its proper divisors (54096641900).

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

36008442820 is a wasteful number, since it uses less digits than its factorization.

36008442820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 36008442820 in words is "thirty-six billion, eight million, four hundred forty-two thousand, eight hundred twenty".