36482832 has 80 divisors (see below), whose sum is σ = 106144000. Its totient is φ = 11995776.

The previous prime is 36482813. The next prime is 36482837. The reversal of 36482832 is 23828463.

36482832 is a `hidden beast` number, since 3 + 648 + 2 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36482837) 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 15 ways as a sum of consecutive naturals, for example, 33594 + ... + 34662.

It is an arithmetic number, because the mean of its divisors is an integer number (1326800).

Almost surely, 2^36482832 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 36482832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53072000).

36482832 is an abundant number, since it is smaller than the sum of its proper divisors (69661168).

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

36482832 is a wasteful number, since it uses less digits than its factorization.

36482832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36482832 is about 6040.1019858939. The cubic root of 36482832 is about 331.6623557206.

The spelling of 36482832 in words is "thirty-six million, four hundred eighty-two thousand, eight hundred thirty-two".