36113040 has 100 divisors (see below), whose sum is σ = 125448444. Its totient is φ = 9628416.

The previous prime is 36113039. The next prime is 36113081. The reversal of 36113040 is 4031163.

36113040 is a `hidden beast` number, since 361 + 1 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 29942784 = 2484^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3694 + ... + 9266.

Almost surely, 2^36113040 is an apocalyptic number.

36113040 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 36113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62724222).

36113040 is an abundant number, since it is smaller than the sum of its proper divisors (89335404).

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

36113040 is a wasteful number, since it uses less digits than its factorization.

36113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36113040 is about 6009.4126168869. The cubic root of 36113040 is about 330.5379655081.

The spelling of 36113040 in words is "thirty-six million, one hundred thirteen thousand, forty".