366366240 has 216 divisors, whose sum is σ = 1301964300. Its totient is φ = 97417728.

The previous prime is 366366239. The next prime is 366366257. The reversal of 366366240 is 42663663.

It can be written as a sum of positive squares in 2 ways, for example, as 365421456 + 944784 = 19116^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 366366195 and 366366204.

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 35 ways as a sum of consecutive naturals, for example, 1049586 + ... + 1049934.

Almost surely, 2^366366240 is an apocalyptic number.

366366240 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 366366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650982150).

366366240 is an abundant number, since it is smaller than the sum of its proper divisors (935598060).

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

366366240 is an frugal number, since it uses more digits than its factorization.

366366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 366366240 is about 19140.6959121135. The cubic root of 366366240 is about 715.5475226534.

The spelling of 366366240 in words is "three hundred sixty-six million, three hundred sixty-six thousand, two hundred forty".