36009360 has 100 divisors (see below), whose sum is σ = 125088348. Its totient is φ = 9600768.

The previous prime is 36009331. The next prime is 36009373. The reversal of 36009360 is 6390063.

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 10969344 = 5004^2 + 3312^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 3702 + ... + 9258.

Almost surely, 2^36009360 is an apocalyptic number.

36009360 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 36009360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544174).

36009360 is an abundant number, since it is smaller than the sum of its proper divisors (89078988).

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

36009360 is a wasteful number, since it uses less digits than its factorization.

36009360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36009360 is about 6000.7799493066. The cubic root of 36009360 is about 330.2213391125.

The spelling of 36009360 in words is "thirty-six million, nine thousand, three hundred sixty".