36944256 has 128 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 11399168.

The previous prime is 36944251. The next prime is 36944261. The reversal of 36944256 is 65244963.

It is an interprime number because it is at equal distance from previous prime (36944251) and next prime (36944261).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36944251) 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, 415060 + ... + 415148.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^36944256 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 36944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

36944256 is an abundant number, since it is smaller than the sum of its proper divisors (68809344).

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

36944256 is a wasteful number, since it uses less digits than its factorization.

36944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 36944256 is about 6078.1786745702. The cubic root of 36944256 is about 333.0547574735.

The spelling of 36944256 in words is "thirty-six million, nine hundred forty-four thousand, two hundred fifty-six".