36270000 has 300 divisors, whose sum is σ = 141004864. Its totient is φ = 8640000.

The previous prime is 36269999. The next prime is 36270001. The reversal of 36270000 is 7263.

36270000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36269999) and next prime (36270001).

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36270001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1169985 + ... + 1170015.

Almost surely, 2^36270000 is an apocalyptic number.

36270000 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 36270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502432).

36270000 is an abundant number, since it is smaller than the sum of its proper divisors (104734864).

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

36270000 is a wasteful number, since it uses less digits than its factorization.

36270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 36270000 is about 6022.4579699654. The cubic root of 36270000 is about 331.0161515532.

Adding to 36270000 its reverse (7263), we get a palindrome (36277263).

The spelling of 36270000 in words is "thirty-six million, two hundred seventy thousand".