338138577 has 16 divisors (see below), whose sum is σ = 572510080. Its totient is φ = 193221936.

The previous prime is 338138561. The next prime is 338138599. The reversal of 338138577 is 775831833.

It is not a de Polignac number, because 338138577 - 2⁴ = 338138561 is a prime.

It is a super-2 number, since 2×338138577² = 228675394511169858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338138527) 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, 894358 + ... + 894735.

It is an arithmetic number, because the mean of its divisors is an integer number (35781880).

Almost surely, 2^338138577 is an apocalyptic number.

It is an amenable number.

338138577 is a deficient number, since it is larger than the sum of its proper divisors (234371503).

338138577 is a wasteful number, since it uses less digits than its factorization.

338138577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789109 (or 1789103 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 338138577 is about 18388.5447221905. The cubic root of 338138577 is about 696.6771612571.

The spelling of 338138577 in words is "three hundred thirty-eight million, one hundred thirty-eight thousand, five hundred seventy-seven".