38268288 has 80 divisors (see below), whose sum is σ = 113916660. Its totient is φ = 12752640.

The previous prime is 38268283. The next prime is 38268301. The reversal of 38268288 is 88286283.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38268281) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8523 + ... + 12213.

Almost surely, 2^38268288 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 38268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56958330).

38268288 is an abundant number, since it is smaller than the sum of its proper divisors (75648372).

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

38268288 is an equidigital number, since it uses as much as digits as its factorization.

38268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3696 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 38268288 is about 6186.1367589151. The cubic root of 38268288 is about 336.9868943883.

The spelling of 38268288 in words is "thirty-eight million, two hundred sixty-eight thousand, two hundred eighty-eight".