36328320 has 384 divisors, whose sum is σ = 154664640. Its totient is φ = 7667712.

The previous prime is 36328309. The next prime is 36328333. The reversal of 36328320 is 2382363.

36328320 is a `hidden beast` number, since 3 + 632 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685414 + ... + 685466.

Almost surely, 2^36328320 is an apocalyptic number.

36328320 is a gapful number since it is divisible by the number (30) 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 36328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77332320).

36328320 is an abundant number, since it is smaller than the sum of its proper divisors (118336320).

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

36328320 is a wasteful number, since it uses less digits than its factorization.

36328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36328320 is about 6027.2979020453. The cubic root of 36328320 is about 331.1934746316.

The spelling of 36328320 in words is "thirty-six million, three hundred twenty-eight thousand, three hundred twenty".