36441144 has 64 divisors (see below), whose sum is σ = 102189600. Its totient is φ = 12031488.

The previous prime is 36441137. The next prime is 36441191. The reversal of 36441144 is 44114463.

36441144 is a `hidden beast` number, since 3 + 644 + 1 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23662 + ... + 25154.

Almost surely, 2^36441144 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 36441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51094800).

36441144 is an abundant number, since it is smaller than the sum of its proper divisors (65748456).

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

36441144 is a wasteful number, since it uses less digits than its factorization.

36441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 36441144 is about 6036.6500643983. The cubic root of 36441144 is about 331.5359802064.

It can be divided in two parts, 36441 and 144, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 36441144 in words is "thirty-six million, four hundred forty-one thousand, one hundred forty-four".