338041328 has 40 divisors (see below), whose sum is σ = 698549040. Its totient is φ = 157916160.

The previous prime is 338041289. The next prime is 338041337. The reversal of 338041328 is 823140833.

It is a happy number.

It is a super-2 number, since 2×338041328² = 228543878872007168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338041294 and 338041303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33338 + ... + 42278.

It is an arithmetic number, because the mean of its divisors is an integer number (17463726).

Almost surely, 2^338041328 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 338041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349274520).

338041328 is an abundant number, since it is smaller than the sum of its proper divisors (360507712).

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

338041328 is a wasteful number, since it uses less digits than its factorization.

338041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 338041328 is about 18385.9002499198. The cubic root of 338041328 is about 696.6103664990.

The spelling of 338041328 in words is "three hundred thirty-eight million, forty-one thousand, three hundred twenty-eight".