36241920 has 360 divisors, whose sum is σ = 148576428. Its totient is φ = 8110080.

The previous prime is 36241913. The next prime is 36241921. The reversal of 36241920 is 2914263.

36241920 is a `hidden beast` number, since 3 + 624 + 19 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 2509056 = 5808^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (36241921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787834 + ... + 2787846.

Almost surely, 2^36241920 is an apocalyptic number.

36241920 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 36241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74288214).

36241920 is an abundant number, since it is smaller than the sum of its proper divisors (112334508).

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

36241920 is a wasteful number, since it uses less digits than its factorization.

36241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36241920 is about 6020.1262445234. The cubic root of 36241920 is about 330.9307059759.

The spelling of 36241920 in words is "thirty-six million, two hundred forty-one thousand, nine hundred twenty".