36883280 has 90 divisors (see below), whose sum is σ = 100793214. Its totient is φ = 12515328.

The previous prime is 36883271. The next prime is 36883289. The reversal of 36883280 is 8238863.

36883280 = 568² + 569² + ... + 664².

It is an interprime number because it is at equal distance from previous prime (36883271) and next prime (36883289).

It can be written as a sum of positive squares in 3 ways, for example, as 2637376 + 34245904 = 1624^2 + 5852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36883289) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 380192 + ... + 380288.

Almost surely, 2^36883280 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 36883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50396607).

36883280 is an abundant number, since it is smaller than the sum of its proper divisors (63909934).

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

36883280 is an equidigital number, since it uses as much as digits as its factorization.

36883280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 36883280 is about 6073.1606268894. The cubic root of 36883280 is about 332.8714224328.

The spelling of 36883280 in words is "thirty-six million, eight hundred eighty-three thousand, two hundred eighty".