338040591 has 32 divisors (see below), whose sum is σ = 548978688. Its totient is φ = 180824160.

The previous prime is 338040569. The next prime is 338040623. The reversal of 338040591 is 195040833.

It is not a de Polignac number, because 338040591 - 2¹⁴ = 338024207 is a prime.

It is a super-2 number, since 2×338040591² = 228542882327258562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338048591) 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 31 ways as a sum of consecutive naturals, for example, 15256 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (17155584).

Almost surely, 2^338040591 is an apocalyptic number.

338040591 is a deficient number, since it is larger than the sum of its proper divisors (210938097).

338040591 is a wasteful number, since it uses less digits than its factorization.

338040591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14971.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 338040591 is about 18385.8802073765. The cubic root of 338040591 is about 696.6098602471.

The spelling of 338040591 in words is "three hundred thirty-eight million, forty thousand, five hundred ninety-one".