338020319 has 16 divisors (see below), whose sum is σ = 416539200. Its totient is φ = 267114240.

The previous prime is 338020313. The next prime is 338020343. The reversal of 338020319 is 913020833.

It is a cyclic number.

It is not a de Polignac number, because 338020319 - 2⁴ = 338020303 is a prime.

It is a super-2 number, since 2×338020319² = 228515472113723522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338020291 and 338020300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338020313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93689 + ... + 97229.

It is an arithmetic number, because the mean of its divisors is an integer number (26033700).

Almost surely, 2^338020319 is an apocalyptic number.

338020319 is a deficient number, since it is larger than the sum of its proper divisors (78518881).

338020319 is a wasteful number, since it uses less digits than its factorization.

338020319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 338020319 is about 18385.3289064950. The cubic root of 338020319 is about 696.5959349397.

The spelling of 338020319 in words is "three hundred thirty-eight million, twenty thousand, three hundred nineteen".