36806432 has 48 divisors (see below), whose sum is σ = 78886080. Its totient is φ = 16803072.

The previous prime is 36806387. The next prime is 36806437. The reversal of 36806432 is 23460863.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36806437) 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 7 ways as a sum of consecutive naturals, for example, 42419 + ... + 43277.

It is an arithmetic number, because the mean of its divisors is an integer number (1643460).

Almost surely, 2^36806432 is an apocalyptic number.

36806432 is a gapful number since it is divisible by the number (32) 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 36806432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39443040).

36806432 is an abundant number, since it is smaller than the sum of its proper divisors (42079648).

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

36806432 is a wasteful number, since it uses less digits than its factorization.

36806432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 36806432 is about 6066.8304739790. The cubic root of 36806432 is about 332.6400774104.

The spelling of 36806432 in words is "thirty-six million, eight hundred six thousand, four hundred thirty-two".