36634144 has 24 divisors (see below), whose sum is σ = 74075148. Its totient is φ = 17821440.

The previous prime is 36634127. The next prime is 36634187. The reversal of 36634144 is 44143663.

It is a happy number.

36634144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 490000 = 6012^2 + 700^2 .

It is a super-2 number, since 2×36634144² = 2684121013225472, which contains 22 as substring.

It is a zygodrome in base 13.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14287 + ... + 16654.

Almost surely, 2^36634144 is an apocalyptic number.

It is an amenable number.

36634144 is an abundant number, since it is smaller than the sum of its proper divisors (37441004).

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

36634144 is a wasteful number, since it uses less digits than its factorization.

36634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30988 (or 30980 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 36634144 is about 6052.6146416239. The cubic root of 36634144 is about 332.1202448265.

The spelling of 36634144 in words is "thirty-six million, six hundred thirty-four thousand, one hundred forty-four".