366345360 has 120 divisors (see below), whose sum is σ = 1244351160. Its totient is φ = 96577536.

The previous prime is 366345323. The next prime is 366345361. The reversal of 366345360 is 63543663.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 352237824 = 3756^2 + 18768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (366345361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61222 + ... + 66938.

It is an arithmetic number, because the mean of its divisors is an integer number (10369593).

Almost surely, 2^366345360 is an apocalyptic number.

366345360 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 366345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622175580).

366345360 is an abundant number, since it is smaller than the sum of its proper divisors (878005800).

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

366345360 is a wasteful number, since it uses less digits than its factorization.

366345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 366345360 is about 19140.1504696280. The cubic root of 366345360 is about 715.5339288644.

The spelling of 366345360 in words is "three hundred sixty-six million, three hundred forty-five thousand, three hundred sixty".