36682880 has 64 divisors (see below), whose sum is σ = 94462200. Its totient is φ = 13541376.

The previous prime is 36682879. The next prime is 36682903. The reversal of 36682880 is 8828663.

It can be written as a sum of positive squares in 4 ways, for example, as 13719616 + 22963264 = 3704^2 + 4792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6116 + ... + 10524.

Almost surely, 2^36682880 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 36682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47231100).

36682880 is an abundant number, since it is smaller than the sum of its proper divisors (57779320).

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

36682880 is a wasteful number, since it uses less digits than its factorization.

36682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 36682880 is about 6056.6393321709. The cubic root of 36682880 is about 332.2674575817.

The spelling of 36682880 in words is "thirty-six million, six hundred eighty-two thousand, eight hundred eighty".