338030448 has 320 divisors, whose sum is σ = 1151926272. Its totient is φ = 83128320.

The previous prime is 338030443. The next prime is 338030453. The reversal of 338030448 is 844030833.

338030448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338030443) and next prime (338030453).

It is a super-2 number, since 2×338030448² = 228529167550161408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338030443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4072615 + ... + 4072697.

Almost surely, 2^338030448 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 338030448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575963136).

338030448 is an abundant number, since it is smaller than the sum of its proper divisors (813895824).

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

338030448 is a wasteful number, since it uses less digits than its factorization.

338030448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 338030448 is about 18385.6043686358. The cubic root of 338030448 is about 696.6028928545.

The spelling of 338030448 in words is "three hundred thirty-eight million, thirty thousand, four hundred forty-eight".