36541840 has 80 divisors (see below), whose sum is σ = 91212912. Its totient is φ = 13565952.

The previous prime is 36541831. The next prime is 36541859. The reversal of 36541840 is 4814563.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 589824 + 35952016 = 768^2 + 5996^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131782 + ... + 132058.

Almost surely, 2^36541840 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 36541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45606456).

36541840 is an abundant number, since it is smaller than the sum of its proper divisors (54671072).

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

36541840 is a wasteful number, since it uses less digits than its factorization.

36541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 36541840 is about 6044.9846980782. The cubic root of 36541840 is about 331.8410716566.

The spelling of 36541840 in words is "thirty-six million, five hundred forty-one thousand, eight hundred forty".