36138240 has 108 divisors (see below), whose sum is σ = 125074404. Its totient is φ = 9633792.

The previous prime is 36138239. The next prime is 36138257. The reversal of 36138240 is 4283163.

It is a happy number.

36138240 is a `hidden beast` number, since 3 + 613 + 8 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 7750656 = 5328^2 + 2784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9952 + ... + 13088.

Almost surely, 2^36138240 is an apocalyptic number.

36138240 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 36138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62537202).

36138240 is an abundant number, since it is smaller than the sum of its proper divisors (88936164).

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

36138240 is a wasteful number, since it uses less digits than its factorization.

36138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36138240 is about 6011.5089619828. The cubic root of 36138240 is about 330.6148317407.

The spelling of 36138240 in words is "thirty-six million, one hundred thirty-eight thousand, two hundred forty".