366120000 has 350 divisors, whose sum is σ = 1368185478. Its totient is φ = 96768000.

The previous prime is 366119993. The next prime is 366120011. The reversal of 366120000 is 21663.

It is a happy number.

366120000 is a `hidden beast` number, since 3 + 661 + 2 + 0 + 0 + 0 + 0 = 666.

366120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 260112384 + 106007616 = 16128^2 + 10296^2 .

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 3239944 + ... + 3240056.

Almost surely, 2^366120000 is an apocalyptic number.

366120000 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 366120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684092739).

366120000 is an abundant number, since it is smaller than the sum of its proper divisors (1002065478).

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

366120000 is an equidigital number, since it uses as much as digits as its factorization.

366120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 366120000 is about 19134.2624629224. The cubic root of 366120000 is about 715.3871768098.

Adding to 366120000 its reverse (21663), we get a palindrome (366141663).

The spelling of 366120000 in words is "three hundred sixty-six million, one hundred twenty thousand".