338088384 has 168 divisors, whose sum is σ = 1057381680. Its totient is φ = 105910272.

The previous prime is 338088379. The next prime is 338088389. The reversal of 338088384 is 483880833.

It is an interprime number because it is at equal distance from previous prime (338088379) and next prime (338088389).

It is a super-2 number, since 2×338088384² = 228607510791462912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338088389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499054 + ... + 499730.

Almost surely, 2^338088384 is an apocalyptic number.

338088384 is a gapful number since it is divisible by the number (34) 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 338088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528690840).

338088384 is an abundant number, since it is smaller than the sum of its proper divisors (719293296).

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

338088384 is a wasteful number, since it uses less digits than its factorization.

338088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 699 counting only the distinct ones).

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

The square root of 338088384 is about 18387.1798816458. The cubic root of 338088384 is about 696.6426881648.

The spelling of 338088384 in words is "three hundred thirty-eight million, eighty-eight thousand, three hundred eighty-four".