36376128 has 84 divisors (see below), whose sum is σ = 108173520. Its totient is φ = 12120192.

The previous prime is 36376111. The next prime is 36376129. The reversal of 36376128 is 82167363.

It is a happy number.

36376128 is a `hidden beast` number, since 3 + 6 + 37 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36376092 and 36376101.

It is not an unprimeable number, because it can be changed into a prime (36376129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14383 + ... + 16721.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 2^36376128 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 36376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54086760).

36376128 is an abundant number, since it is smaller than the sum of its proper divisors (71797392).

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

36376128 is an equidigital number, since it uses as much as digits as its factorization.

36376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2344 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36376128 is about 6031.2625543911. The cubic root of 36376128 is about 331.3386942748.

The spelling of 36376128 in words is "thirty-six million, three hundred seventy-six thousand, one hundred twenty-eight".