36441000 has 96 divisors (see below), whose sum is σ = 123201000. Its totient is φ = 9715200.

The previous prime is 36440983. The next prime is 36441019. The reversal of 36441000 is 14463.

It can be written as a sum of positive squares in 4 ways, for example, as 6563844 + 29877156 = 2562^2 + 5466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6976 + ... + 11024.

Almost surely, 2^36441000 is an apocalyptic number.

36441000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61600500).

36441000 is an abundant number, since it is smaller than the sum of its proper divisors (86760000).

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

36441000 is a wasteful number, since it uses less digits than its factorization.

36441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36441000 is about 6036.6381372416. The cubic root of 36441000 is about 331.5355435091.

Adding to 36441000 its reverse (14463), we get a palindrome (36455463).

The spelling of 36441000 in words is "thirty-six million, four hundred forty-one thousand".