366407712 has 240 divisors, whose sum is σ = 1198701504. Its totient is φ = 108864000.

The previous prime is 366407711. The next prime is 366407731. The reversal of 366407712 is 217704663.

366407712 is a `hidden beast` number, since 3 + 6 + 640 + 7 + 7 + 1 + 2 = 666.

366407712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×366407712² = 268509222826149888, which contains 22 as substring.

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 (366407711) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2024262 + ... + 2024442.

Almost surely, 2^366407712 is an apocalyptic number.

366407712 is a gapful number since it is divisible by the number (32) 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 366407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599350752).

366407712 is an abundant number, since it is smaller than the sum of its proper divisors (832293792).

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

366407712 is a wasteful number, since it uses less digits than its factorization.

366407712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 366407712 is about 19141.7792276476. The cubic root of 366407712 is about 715.5745211993.

The spelling of 366407712 in words is "three hundred sixty-six million, four hundred seven thousand, seven hundred twelve".