36201330 has 160 divisors (see below), whose sum is σ = 112907520. Its totient is φ = 8225280.

The previous prime is 36201323. The next prime is 36201337. The reversal of 36201330 is 3310263.

It is a happy number.

36201330 is a `hidden beast` number, since 3 + 620 + 13 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (36201323) and next prime (36201337).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36201337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151351 + ... + 151589.

It is an arithmetic number, because the mean of its divisors is an integer number (705672).

Almost surely, 2^36201330 is an apocalyptic number.

36201330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56453760).

36201330 is an abundant number, since it is smaller than the sum of its proper divisors (76706190).

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

36201330 is a wasteful number, since it uses less digits than its factorization.

36201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36201330 is about 6016.7541083212. The cubic root of 36201330 is about 330.8071152542.

Adding to 36201330 its reverse (3310263), we get a palindrome (39511593).

It can be divided in two parts, 3620 and 1330, that added together give a triangular number (4950 = T₉₉).

The spelling of 36201330 in words is "thirty-six million, two hundred one thousand, three hundred thirty".