36590368 has 36 divisors (see below), whose sum is σ = 74238822. Its totient is φ = 17742080.

The previous prime is 36590363. The next prime is 36590383. The reversal of 36590368 is 86309563.

It can be written as a sum of positive squares in only one way, i.e., 36144144 + 446224 = 6012^2 + 668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36590368.

It is not an unprimeable number, because it can be changed into a prime (36590363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219021 + ... + 219187.

Almost surely, 2^36590368 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 36590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37119411).

36590368 is an abundant number, since it is smaller than the sum of its proper divisors (37648454).

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

36590368 is an equidigital number, since it uses as much as digits as its factorization.

36590368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 36590368 is about 6048.9972722758. The cubic root of 36590368 is about 331.9879029801.

The spelling of 36590368 in words is "thirty-six million, five hundred ninety thousand, three hundred sixty-eight".