36364000 has 48 divisors (see below), whose sum is σ = 89356176. Its totient is φ = 14544000.

The previous prime is 36363997. The next prime is 36364067. The reversal of 36364000 is 46363.

36364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 8545.

It is an arithmetic number, because the mean of its divisors is an integer number (1861587).

Almost surely, 2^36364000 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 36364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44678088).

36364000 is an abundant number, since it is smaller than the sum of its proper divisors (52992176).

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

36364000 is an equidigital number, since it uses as much as digits as its factorization.

36364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 36364000 is about 6030.2570426144. The cubic root of 36364000 is about 331.3018668042.

The spelling of 36364000 in words is "thirty-six million, three hundred sixty-four thousand".