366220800 has 540 divisors, whose sum is σ = 1518798996. Its totient is φ = 83558400.

The previous prime is 366220793. The next prime is 366220807. The reversal of 366220800 is 8022663.

366220800 is a `hidden beast` number, since 36 + 622 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (366220793) and next prime (366220807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366220807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21542392 + ... + 21542408.

Almost surely, 2^366220800 is an apocalyptic number.

366220800 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 366220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759399498).

366220800 is an abundant number, since it is smaller than the sum of its proper divisors (1152578196).

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

366220800 is a wasteful number, since it uses less digits than its factorization.

366220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 366220800 is about 19136.8963000796. The cubic root of 366220800 is about 715.4528241482.

The spelling of 366220800 in words is "three hundred sixty-six million, two hundred twenty thousand, eight hundred".