36038144 has 40 divisors (see below), whose sum is σ = 73287720. Its totient is φ = 17698816.

The previous prime is 36038137. The next prime is 36038153. The reversal of 36038144 is 44183063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29612 + ... + 30804.

It is an arithmetic number, because the mean of its divisors is an integer number (1832193).

Almost surely, 2^36038144 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 36038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643860).

36038144 is an abundant number, since it is smaller than the sum of its proper divisors (37249576).

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

36038144 is an equidigital number, since it uses as much as digits as its factorization.

36038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 36038144 is about 6003.1778251190. The cubic root of 36038144 is about 330.3093029042.

The spelling of 36038144 in words is "thirty-six million, thirty-eight thousand, one hundred forty-four".