36328800 has 72 divisors (see below), whose sum is σ = 118258056. Its totient is φ = 9687040.

The previous prime is 36328781. The next prime is 36328801. The reversal of 36328800 is 882363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36328801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5169 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (1642473).

Almost surely, 2^36328800 is an apocalyptic number.

36328800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36328800 is an abundant number, since it is smaller than the sum of its proper divisors (81929256).

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

36328800 is a wasteful number, since it uses less digits than its factorization.

36328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15160 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36328800 is about 6027.3377207520. The cubic root of 36328800 is about 331.1949332932.

It can be divided in two parts, 36328 and 800, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 36328800 in words is "thirty-six million, three hundred twenty-eight thousand, eight hundred".