36382032 has 60 divisors (see below), whose sum is σ = 103243764. Its totient is φ = 11957760.

The previous prime is 36382019. The next prime is 36382051. The reversal of 36382032 is 23028363.

36382032 is a `hidden beast` number, since 3 + 638 + 20 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13571856 + 22810176 = 3684^2 + 4776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36381987 and 36382005.

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, 8782 + ... + 12242.

Almost surely, 2^36382032 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 36382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51621882).

36382032 is an abundant number, since it is smaller than the sum of its proper divisors (66861732).

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

36382032 is a wasteful number, since it uses less digits than its factorization.

36382032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36382032 is about 6031.7519842911. The cubic root of 36382032 is about 331.3566191973.

The spelling of 36382032 in words is "thirty-six million, three hundred eighty-two thousand, thirty-two".