36003312 has 40 divisors (see below), whose sum is σ = 103344080. Its totient is φ = 12000960.

The previous prime is 36003311. The next prime is 36003337. The reversal of 36003312 is 21330063.

It is a happy number.

36003312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41239 + ... + 42102.

It is an arithmetic number, because the mean of its divisors is an integer number (2583602).

Almost surely, 2^36003312 is an apocalyptic number.

It is an amenable number.

36003312 is an abundant number, since it is smaller than the sum of its proper divisors (67340768).

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

36003312 is a wasteful number, since it uses less digits than its factorization.

36003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83358 (or 83346 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36003312 is about 6000.2759936523. The cubic root of 36003312 is about 330.2028504892.

Adding to 36003312 its reverse (21330063), we get a palindrome (57333375).

It can be divided in two parts, 36003 and 312, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 36003312 in words is "thirty-six million, three thousand, three hundred twelve".