36306944 has 36 divisors (see below), whose sum is σ = 72875754. Its totient is φ = 18087936.

The previous prime is 36306937. The next prime is 36306947. The reversal of 36306944 is 44960363.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34668544 + 1638400 = 5888^2 + 1280^2 .

It is not an unprimeable number, because it can be changed into a prime (36306947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130934 + ... + 131210.

Almost surely, 2^36306944 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 36306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36437877).

36306944 is an abundant number, since it is smaller than the sum of its proper divisors (36568810).

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

36306944 is an frugal number, since it uses more digits than its factorization.

36306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 36306944 is about 6025.5243755212. The cubic root of 36306944 is about 331.1285025406.

The spelling of 36306944 in words is "thirty-six million, three hundred six thousand, nine hundred forty-four".