36332032 has 40 divisors (see below), whose sum is σ = 79204752. Its totient is φ = 16512000.

The previous prime is 36332003. The next prime is 36332053. The reversal of 36332032 is 23023363.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 36331994 and 36332012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2407 + ... + 8857.

Almost surely, 2^36332032 is an apocalyptic number.

36332032 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 36332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39602376).

36332032 is an abundant number, since it is smaller than the sum of its proper divisors (42872720).

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

36332032 is an equidigital number, since it uses as much as digits as its factorization.

36332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 36332032 is about 6027.6058265285. The cubic root of 36332032 is about 331.2047546129.

Adding to 36332032 its reverse (23023363), we get a palindrome (59355395).

It can be divided in two parts, 3633 and 2032, that added together give a palindrome (5665).

The spelling of 36332032 in words is "thirty-six million, three hundred thirty-two thousand, thirty-two".