36366336 has 72 divisors (see below), whose sum is σ = 105085890. Its totient is φ = 12115968.

The previous prime is 36366331. The next prime is 36366353. The reversal of 36366336 is 63366363.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 2073600 = 5856^2 + 1440^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36366336.

It is not an unprimeable number, because it can be changed into a prime (36366331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17446 + ... + 19418.

Almost surely, 2^36366336 is an apocalyptic number.

36366336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52542945).

36366336 is an abundant number, since it is smaller than the sum of its proper divisors (68719554).

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

36366336 is a wasteful number, since it uses less digits than its factorization.

36366336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1978 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The square root of 36366336 is about 6030.4507294231. The cubic root of 36366336 is about 331.3089608586.

The spelling of 36366336 in words is "thirty-six million, three hundred sixty-six thousand, three hundred thirty-six".