338008320 has 432 divisors, whose sum is σ = 1314676272. Its totient is φ = 79626240.

The previous prime is 338008303. The next prime is 338008327. The reversal of 338008320 is 23800833.

338008320 is a `hidden beast` number, since 338 + 0 + 0 + 8 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37748736 + 300259584 = 6144^2 + 17328^2 .

It is a super-2 number, since 2×338008320² = 228499248778444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338008327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5541090 + ... + 5541150.

Almost surely, 2^338008320 is an apocalyptic number.

338008320 is a gapful number since it is divisible by the number (30) 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 338008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657338136).

338008320 is an abundant number, since it is smaller than the sum of its proper divisors (976667952).

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

338008320 is a wasteful number, since it uses less digits than its factorization.

338008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 338008320 is about 18385.0025836278. The cubic root of 338008320 is about 696.5876922858.

The spelling of 338008320 in words is "three hundred thirty-eight million, eight thousand, three hundred twenty".