338538816 has 336 divisors, whose sum is σ = 1283817600. Its totient is φ = 82575360.

The previous prime is 338538793. The next prime is 338538821. The reversal of 338538816 is 618835833.

338538816 is a `hidden beast` number, since 3 + 38 + 538 + 81 + 6 = 666.

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

It is a super-2 number, since 2×338538816² = 229217059877363712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 753760 + ... + 754208.

Almost surely, 2^338538816 is an apocalyptic number.

338538816 is a gapful number since it is divisible by the number (36) 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 338538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

338538816 is an abundant number, since it is smaller than the sum of its proper divisors (945278784).

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

338538816 is a wasteful number, since it uses less digits than its factorization.

338538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 338538816 is about 18399.4243388210. The cubic root of 338538816 is about 696.9519277246.

The spelling of 338538816 in words is "three hundred thirty-eight million, five hundred thirty-eight thousand, eight hundred sixteen".