338238936 has 128 divisors (see below), whose sum is σ = 1137024000. Its totient is φ = 90948096.

The previous prime is 338238913. The next prime is 338238949. The reversal of 338238936 is 639832833.

338238936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338238936² = 228811155652824192, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338238891 and 338238900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19125 + ... + 32283.

It is an arithmetic number, because the mean of its divisors is an integer number (8883000).

Almost surely, 2^338238936 is an apocalyptic number.

338238936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338238936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568512000).

338238936 is an abundant number, since it is smaller than the sum of its proper divisors (798785064).

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

338238936 is a wasteful number, since it uses less digits than its factorization.

338238936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13198 (or 13188 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 338238936 is about 18391.2733653763. The cubic root of 338238936 is about 696.7460786694.

The spelling of 338238936 in words is "three hundred thirty-eight million, two hundred thirty-eight thousand, nine hundred thirty-six".