36638208 has 60 divisors (see below), whose sum is σ = 105753648. Its totient is φ = 12211200.

The previous prime is 36638207. The next prime is 36638221. The reversal of 36638208 is 80283663.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36638207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633 + ... + 8583.

Almost surely, 2^36638208 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 36638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876824).

36638208 is an abundant number, since it is smaller than the sum of its proper divisors (69115440).

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

36638208 is an equidigital number, since it uses as much as digits as its factorization.

36638208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36638208 is about 6052.9503549922. The cubic root of 36638208 is about 332.1325255991.

The spelling of 36638208 in words is "thirty-six million, six hundred thirty-eight thousand, two hundred eight".