338068368 has 240 divisors, whose sum is σ = 1114214400. Its totient is φ = 94590720.

The previous prime is 338068333. The next prime is 338068429. The reversal of 338068368 is 863860833.

It is a happy number.

It is a super-2 number, since 2×338068368² = 228580442884366848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414393 + ... + 1414631.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2^338068368 is an apocalyptic number.

338068368 is a gapful number since it is divisible by the number (38) 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 338068368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

338068368 is an abundant number, since it is smaller than the sum of its proper divisors (776146032).

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

338068368 is a wasteful number, since it uses less digits than its factorization.

338068368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 338068368 is about 18386.6355813129. The cubic root of 338068368 is about 696.6289400091.

The spelling of 338068368 in words is "three hundred thirty-eight million, sixty-eight thousand, three hundred sixty-eight".