36352000 has 104 divisors (see below), whose sum is σ = 92001312. Its totient is φ = 14336000.

The previous prime is 36351949. The next prime is 36352003. The reversal of 36352000 is 25363.

It is not an unprimeable number, because it can be changed into a prime (36352003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 511965 + ... + 512035.

It is an arithmetic number, because the mean of its divisors is an integer number (884628).

Almost surely, 2^36352000 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 36352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000656).

36352000 is an abundant number, since it is smaller than the sum of its proper divisors (55649312).

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

36352000 is an frugal number, since it uses more digits than its factorization.

36352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 36352000 is about 6029.2619780534. The cubic root of 36352000 is about 331.2654199538.

Adding to 36352000 its reverse (25363), we get a palindrome (36377363).

The spelling of 36352000 in words is "thirty-six million, three hundred fifty-two thousand".