338583168 has 288 divisors, whose sum is σ = 1227451680. Its totient is φ = 87690240.

The previous prime is 338583163. The next prime is 338583191. The reversal of 338583168 is 861385833.

338583168 is a `hidden beast` number, since 3 + 3 + 8 + 583 + 1 + 68 = 666.

338583168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338583168² = 229277123305832448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (338583163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975571 + ... + 975917.

It is an arithmetic number, because the mean of its divisors is an integer number (4261985).

Almost surely, 2^338583168 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 338583168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613725840).

338583168 is an abundant number, since it is smaller than the sum of its proper divisors (888868512).

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

338583168 is a wasteful number, since it uses less digits than its factorization.

338583168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

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

The square root of 338583168 is about 18400.6295544473. The cubic root of 338583168 is about 696.9823623067.

The spelling of 338583168 in words is "three hundred thirty-eight million, five hundred eighty-three thousand, one hundred sixty-eight".