36107808 has 96 divisors (see below), whose sum is σ = 106831872. Its totient is φ = 10579200.

The previous prime is 36107807. The next prime is 36107821. The reversal of 36107808 is 80870163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (36107801) 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 15 ways as a sum of consecutive naturals, for example, 32185 + ... + 33287.

It is an arithmetic number, because the mean of its divisors is an integer number (1112832).

Almost surely, 2^36107808 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 36107808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53415936).

36107808 is an abundant number, since it is smaller than the sum of its proper divisors (70724064).

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

36107808 is a wasteful number, since it uses less digits than its factorization.

36107808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 36107808 is about 6008.9772840310. The cubic root of 36107808 is about 330.5220021316.

The spelling of 36107808 in words is "thirty-six million, one hundred seven thousand, eight hundred eight".