338238768 has 120 divisors (see below), whose sum is σ = 1049456640. Its totient is φ = 93502080.

The previous prime is 338238763. The next prime is 338238773. The reversal of 338238768 is 867832833.

338238768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338238763) and next prime (338238773).

It is a super-2 number, since 2×338238768² = 228810928356315648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (338238763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70593 + ... + 75231.

It is an arithmetic number, because the mean of its divisors is an integer number (8745472).

Almost surely, 2^338238768 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 338238768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524728320).

338238768 is an abundant number, since it is smaller than the sum of its proper divisors (711217872).

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

338238768 is a wasteful number, since it uses less digits than its factorization.

338238768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4682 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 338238768 is about 18391.2687979922. The cubic root of 338238768 is about 696.7459633137.

The spelling of 338238768 in words is "three hundred thirty-eight million, two hundred thirty-eight thousand, seven hundred sixty-eight".