368064288 has 144 divisors (see below), whose sum is σ = 1094446080. Its totient is φ = 117186048.

The previous prime is 368064283. The next prime is 368064293. The reversal of 368064288 is 882460863.

It is a happy number.

368064288 is a `hidden beast` number, since 368 + 0 + 6 + 4 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (368064283) and next prime (368064293).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (368064283) 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 23 ways as a sum of consecutive naturals, for example, 1060531 + ... + 1060877.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2^368064288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368064288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547223040).

368064288 is an abundant number, since it is smaller than the sum of its proper divisors (726381792).

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

368064288 is a wasteful number, since it uses less digits than its factorization.

368064288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 368064288 is about 19185.0016419077. The cubic root of 368064288 is about 716.6513012991.

The spelling of 368064288 in words is "three hundred sixty-eight million, sixty-four thousand, two hundred eighty-eight".