36385008 has 80 divisors (see below), whose sum is σ = 103493376. Its totient is φ = 10923520.

The previous prime is 36385007. The next prime is 36385039. The reversal of 36385008 is 80058363.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 36385008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36385007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72085 + ... + 72587.

Almost surely, 2^36385008 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 36385008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51746688).

36385008 is an abundant number, since it is smaller than the sum of its proper divisors (67108368).

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

36385008 is a wasteful number, since it uses less digits than its factorization.

36385008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36385008 is about 6031.9986737399. The cubic root of 36385008 is about 331.3656537890.

It can be divided in two parts, 3638 and 5008, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 36385008 in words is "thirty-six million, three hundred eighty-five thousand, eight".