36638120 has 32 divisors (see below), whose sum is σ = 82618920. Its totient is φ = 14622720.

The previous prime is 36638117. The next prime is 36638123. The reversal of 36638120 is 2183663.

It is an interprime number because it is at equal distance from previous prime (36638117) and next prime (36638123).

It can be written as a sum of positive squares in 4 ways, for example, as 20268004 + 16370116 = 4502^2 + 4046^2 .

It is not an unprimeable number, because it can be changed into a prime (36638123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26240 + ... + 27600.

Almost surely, 2^36638120 is an apocalyptic number.

It is an amenable number.

36638120 is an abundant number, since it is smaller than the sum of its proper divisors (45980800).

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

36638120 is a wasteful number, since it uses less digits than its factorization.

36638120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 36638120 is about 6052.9430858054. The cubic root of 36638120 is about 332.1322596864.

The spelling of 36638120 in words is "thirty-six million, six hundred thirty-eight thousand, one hundred twenty".