38304288 has 144 divisors (see below), whose sum is σ = 121002336. Its totient is φ = 11397120.

The previous prime is 38304283. The next prime is 38304293. The reversal of 38304288 is 88240383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38304283) and next prime (38304293).

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

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 (38304283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338920 + ... + 339032.

It is an arithmetic number, because the mean of its divisors is an integer number (840294).

Almost surely, 2^38304288 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 38304288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501168).

38304288 is an abundant number, since it is smaller than the sum of its proper divisors (82698048).

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

38304288 is a wasteful number, since it uses less digits than its factorization.

38304288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

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

The square root of 38304288 is about 6189.0458069076. The cubic root of 38304288 is about 337.0925321253.

It can be divided in two parts, 3830 and 4288, that added together give a palindrome (8118).

The spelling of 38304288 in words is "thirty-eight million, three hundred four thousand, two hundred eighty-eight".