36005008 has 80 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 15579648.

The previous prime is 36005003. The next prime is 36005009. The reversal of 36005008 is 80050063.

It is a self number, because there is not a number n which added to its sum of digits gives 36005008.

It is not an unprimeable number, because it can be changed into a prime (36005003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283441 + ... + 283567.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^36005008 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 36005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

36005008 is an abundant number, since it is smaller than the sum of its proper divisors (43989872).

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

36005008 is a wasteful number, since it uses less digits than its factorization.

36005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 36005008 is about 6000.4173188204. The cubic root of 36005008 is about 330.2080353385.

The spelling of 36005008 in words is "thirty-six million, five thousand, eight".