338371488 has 144 divisors (see below), whose sum is σ = 1184391936. Its totient is φ = 89233920.

The previous prime is 338371487. The next prime is 338371499. The reversal of 338371488 is 884173833.

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

It is a super-2 number, since 2×338371488² = 228990527782668288, which contains 22 as substring.

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 (338371487) 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, 19753 + ... + 32663.

It is an arithmetic number, because the mean of its divisors is an integer number (8224944).

Almost surely, 2^338371488 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 338371488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592195968).

338371488 is an abundant number, since it is smaller than the sum of its proper divisors (846020448).

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

338371488 is a wasteful number, since it uses less digits than its factorization.

338371488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12936 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 338371488 is about 18394.8766780318. The cubic root of 338371488 is about 696.8370824094.

The spelling of 338371488 in words is "three hundred thirty-eight million, three hundred seventy-one thousand, four hundred eighty-eight".