338676311 has 16 divisors (see below), whose sum is σ = 373866240. Its totient is φ = 305363520.

The previous prime is 338676301. The next prime is 338676323. The reversal of 338676311 is 113676833.

It is a cyclic number.

It is not a de Polignac number, because 338676311 - 2¹⁰ = 338675287 is a prime.

It is a super-2 number, since 2×338676311² = 229403287265137442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338676301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90371 + ... + 94043.

It is an arithmetic number, because the mean of its divisors is an integer number (23366640).

Almost surely, 2^338676311 is an apocalyptic number.

338676311 is a deficient number, since it is larger than the sum of its proper divisors (35189929).

338676311 is a wasteful number, since it uses less digits than its factorization.

338676311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926.

The product of its digits is 54432, while the sum is 38.

The square root of 338676311 is about 18403.1603535914. The cubic root of 338676311 is about 697.0462688858.

It can be divided in two parts, 3386 and 76311, that added together give a palindrome (79697).

The spelling of 338676311 in words is "three hundred thirty-eight million, six hundred seventy-six thousand, three hundred eleven".