380304288 has 288 divisors, whose sum is σ = 1391584320. Its totient is φ = 100154880.

The previous prime is 380304283. The next prime is 380304319. The reversal of 380304288 is 882403083.

It is a happy number.

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

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 (380304283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550023 + ... + 550713.

It is an arithmetic number, because the mean of its divisors is an integer number (4831890).

Almost surely, 2^380304288 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 380304288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695792160).

380304288 is an abundant number, since it is smaller than the sum of its proper divisors (1011280032).

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

380304288 is a wasteful number, since it uses less digits than its factorization.

380304288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380304288 is about 19501.3919503199. The cubic root of 380304288 is about 724.5089265861.

The spelling of 380304288 in words is "three hundred eighty million, three hundred four thousand, two hundred eighty-eight".