366363360 has 288 divisors, whose sum is σ = 1383389280. Its totient is φ = 87552000.

The previous prime is 366363359. The next prime is 366363407. The reversal of 366363360 is 63363663.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×366363360² = 268444223100979200, which contains 22 as substring.

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

It is a congruent number.

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, 1599726 + ... + 1599954.

It is an arithmetic number, because the mean of its divisors is an integer number (4803435).

Almost surely, 2^366363360 is an apocalyptic number.

366363360 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 366363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691694640).

366363360 is an abundant number, since it is smaller than the sum of its proper divisors (1017025920).

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

366363360 is a wasteful number, since it uses less digits than its factorization.

366363360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 366363360 is about 19140.6206795913. The cubic root of 366363360 is about 715.5456476788.

The spelling of 366363360 in words is "three hundred sixty-six million, three hundred sixty-three thousand, three hundred sixty".