338738112 has 168 divisors, whose sum is σ = 1051779456. Its totient is φ = 107889408.

The previous prime is 338738111. The next prime is 338738119. The reversal of 338738112 is 211837833.

It is a super-2 number, since 2×338738112² = 229487017042649088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338738111) 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, 357223 + ... + 358169.

It is an arithmetic number, because the mean of its divisors is an integer number (6260592).

Almost surely, 2^338738112 is an apocalyptic number.

338738112 is a gapful number since it is divisible by the number (32) 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 338738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525889728).

338738112 is an abundant number, since it is smaller than the sum of its proper divisors (713041344).

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

338738112 is an equidigital number, since it uses as much as digits as its factorization.

338738112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 975 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 338738112 is about 18404.8393636022. The cubic root of 338738112 is about 697.0886648601.

The spelling of 338738112 in words is "three hundred thirty-eight million, seven hundred thirty-eight thousand, one hundred twelve".