36441648 has 60 divisors (see below), whose sum is σ = 103248600. Its totient is φ = 11996928.

The previous prime is 36441631. The next prime is 36441649. The reversal of 36441648 is 84614463.

36441648 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (36441649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10428 + ... + 13476.

It is an arithmetic number, because the mean of its divisors is an integer number (1720810).

Almost surely, 2^36441648 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 36441648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51624300).

36441648 is an abundant number, since it is smaller than the sum of its proper divisors (66806952).

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

36441648 is a wasteful number, since it uses less digits than its factorization.

36441648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3137 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36441648 is about 6036.6918092611. The cubic root of 36441648 is about 331.5375086377.

The spelling of 36441648 in words is "thirty-six million, four hundred forty-one thousand, six hundred forty-eight".