338365368 has 72 divisors (see below), whose sum is σ = 1007315400. Its totient is φ = 102532320.

The previous prime is 338365367. The next prime is 338365373. The reversal of 338365368 is 863563833.

338365368 is a `hidden beast` number, since 33 + 83 + 6 + 536 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×338365368² = 228982244523550848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338365367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10708 + ... + 28131.

Almost surely, 2^338365368 is an apocalyptic number.

It is an amenable number.

338365368 is an abundant number, since it is smaller than the sum of its proper divisors (668950032).

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

338365368 is a wasteful number, since it uses less digits than its factorization.

338365368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38873 (or 38855 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 338365368 is about 18394.7103266129. The cubic root of 338365368 is about 696.8328812392.

It can be divided in two parts, 33836 and 5368, that added together give a square (39204 = 198²).

The spelling of 338365368 in words is "three hundred thirty-eight million, three hundred sixty-five thousand, three hundred sixty-eight".