36387208 has 64 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 14361600.

The previous prime is 36387193. The next prime is 36387209. The reversal of 36387208 is 80278363.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36387209) 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, 18513 + ... + 20383.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^36387208 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 36387208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

36387208 is an abundant number, since it is smaller than the sum of its proper divisors (48526712).

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

36387208 is a wasteful number, since it uses less digits than its factorization.

36387208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 36387208 is about 6032.1810317662. The cubic root of 36387208 is about 331.3723322699.

It can be divided in two parts, 363 and 87208, that added together give a triangular number (87571 = T₄₁₈).

The spelling of 36387208 in words is "thirty-six million, three hundred eighty-seven thousand, two hundred eight".