36538992 has 160 divisors (see below), whose sum is σ = 123087360. Its totient is φ = 10160640.

The previous prime is 36538991. The next prime is 36538993. The reversal of 36538992 is 29983563.

It is an interprime number because it is at equal distance from previous prime (36538991) and next prime (36538993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36538991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129892 + ... + 130172.

It is an arithmetic number, because the mean of its divisors is an integer number (769296).

Almost surely, 2^36538992 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 36538992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61543680).

36538992 is an abundant number, since it is smaller than the sum of its proper divisors (86548368).

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

36538992 is a wasteful number, since it uses less digits than its factorization.

36538992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 36538992 is about 6044.7491263079. The cubic root of 36538992 is about 331.8324504165.

The spelling of 36538992 in words is "thirty-six million, five hundred thirty-eight thousand, nine hundred ninety-two".