36045360 has 120 divisors (see below), whose sum is σ = 130397904. Its totient is φ = 8870400.

The previous prime is 36045349. The next prime is 36045367. The reversal of 36045360 is 6354063.

36045360 is a `hidden beast` number, since 3 + 604 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (36045367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7435 + ... + 11285.

Almost surely, 2^36045360 is an apocalyptic number.

36045360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65198952).

36045360 is an abundant number, since it is smaller than the sum of its proper divisors (94352544).

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

36045360 is a wasteful number, since it uses less digits than its factorization.

36045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36045360 is about 6003.7788100496. The cubic root of 36045360 is about 330.3313476287.

The spelling of 36045360 in words is "thirty-six million, forty-five thousand, three hundred sixty".