36576000 has 216 divisors, whose sum is σ = 132647424. Its totient is φ = 9676800.

The previous prime is 36575963. The next prime is 36576019. The reversal of 36576000 is 67563.

36576000 is a `hidden beast` number, since 3 + 6 + 57 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287937 + ... + 288063.

Almost surely, 2^36576000 is an apocalyptic number.

36576000 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 36576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66323712).

36576000 is an abundant number, since it is smaller than the sum of its proper divisors (96071424).

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

36576000 is a wasteful number, since it uses less digits than its factorization.

36576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36576000 is about 6047.8095208100. The cubic root of 36576000 is about 331.9444432125.

It can be divided in two parts, 3657 and 6000, that multiplied together give a triangular number (21942000 = T₆₆₂₄).

The spelling of 36576000 in words is "thirty-six million, five hundred seventy-six thousand".