36441132 has 144 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 8985600.

The previous prime is 36441127. The next prime is 36441133. The reversal of 36441132 is 23114463.

It is a super-2 number, since 2×36441132² = 2655912202882848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36441133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241257 + ... + 241407.

It is an arithmetic number, because the mean of its divisors is an integer number (778848).

Almost surely, 2^36441132 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 36441132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077056).

36441132 is an abundant number, since it is smaller than the sum of its proper divisors (75712980).

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

36441132 is a wasteful number, since it uses less digits than its factorization.

36441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 36441132 is about 6036.6490704695. The cubic root of 36441132 is about 331.5359438150.

Adding to 36441132 its reverse (23114463), we get a palindrome (59555595).

The spelling of 36441132 in words is "thirty-six million, four hundred forty-one thousand, one hundred thirty-two".