36540288 has 128 divisors (see below), whose sum is σ = 109956000. Its totient is φ = 11943936.

The previous prime is 36540269. The next prime is 36540311. The reversal of 36540288 is 88204563.

36540288 is a `hidden beast` number, since 36 + 540 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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, 335178 + ... + 335286.

Almost surely, 2^36540288 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 36540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54978000).

36540288 is an abundant number, since it is smaller than the sum of its proper divisors (73415712).

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

36540288 is a wasteful number, since it uses less digits than its factorization.

36540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36540288 is about 6044.8563258360. The cubic root of 36540288 is about 331.8363736206.

The spelling of 36540288 in words is "thirty-six million, five hundred forty thousand, two hundred eighty-eight".