36045216 has 48 divisors (see below), whose sum is σ = 105134400. Its totient is φ = 12014784.

The previous prime is 36045203. The next prime is 36045239. The reversal of 36045216 is 61254063.

36045216 is a `hidden beast` number, since 3 + 604 + 52 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36045216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19996 + ... + 21723.

It is an arithmetic number, because the mean of its divisors is an integer number (2190300).

Almost surely, 2^36045216 is an apocalyptic number.

36045216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36045216 is an abundant number, since it is smaller than the sum of its proper divisors (69089184).

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

36045216 is a wasteful number, since it uses less digits than its factorization.

36045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41738 (or 41724 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36045216 is about 6003.7668175904. The cubic root of 36045216 is about 330.3309077405.

Adding to 36045216 its reverse (61254063), we get a palindrome (97299279).

The spelling of 36045216 in words is "thirty-six million, forty-five thousand, two hundred sixteen".