36881768 has 48 divisors (see below), whose sum is σ = 86886240. Its totient is φ = 14366880.

The previous prime is 36881753. The next prime is 36881771. The reversal of 36881768 is 86718863.

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 11 ways as a sum of consecutive naturals, for example, 4055 + ... + 9497.

It is an arithmetic number, because the mean of its divisors is an integer number (1810130).

Almost surely, 2^36881768 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 36881768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43443120).

36881768 is an abundant number, since it is smaller than the sum of its proper divisors (50004472).

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

36881768 is a wasteful number, since it uses less digits than its factorization.

36881768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5463 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 36881768 is about 6073.0361434788. The cubic root of 36881768 is about 332.8668737731.

The spelling of 36881768 in words is "thirty-six million, eight hundred eighty-one thousand, seven hundred sixty-eight".