366687360 has 384 divisors, whose sum is σ = 1403438400. Its totient is φ = 87662592.

The previous prime is 366687323. The next prime is 366687371. The reversal of 366687360 is 63786663.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4417879 + ... + 4417961.

Almost surely, 2^366687360 is an apocalyptic number.

366687360 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 366687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

366687360 is an abundant number, since it is smaller than the sum of its proper divisors (1036751040).

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

366687360 is a wasteful number, since it uses less digits than its factorization.

366687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 366687360 is about 19149.0824845474. The cubic root of 366687360 is about 715.7565207315.

It can be divided in two parts, 36 and 6687360, that added together give a square (6687396 = 2586²).

The spelling of 366687360 in words is "three hundred sixty-six million, six hundred eighty-seven thousand, three hundred sixty".