338038848 has 336 divisors, whose sum is σ = 1188720000. Its totient is φ = 91671552.

The previous prime is 338038847. The next prime is 338038879. The reversal of 338038848 is 848830833.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×338038848² = 228540525514334208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338038847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729443 + ... + 5729501.

Almost surely, 2^338038848 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 338038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594360000).

338038848 is an abundant number, since it is smaller than the sum of its proper divisors (850681152).

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

338038848 is a wasteful number, since it uses less digits than its factorization.

338038848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 338038848 is about 18385.8328068108. The cubic root of 338038848 is about 696.6086629618.

The spelling of 338038848 in words is "three hundred thirty-eight million, thirty-eight thousand, eight hundred forty-eight".