338395681 has 32 divisors (see below), whose sum is σ = 396999680. Its totient is φ = 285768000.

The previous prime is 338395657. The next prime is 338395697. The reversal of 338395681 is 186593833.

It is a 3-Lehmer number, since φ(338395681) divides (338395681-1)³.

It is a cyclic number.

It is not a de Polignac number, because 338395681 - 2⁵ = 338395649 is a prime.

It is a super-2 number, since 2×338395681² = 229023273838907522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338345681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1603666 + ... + 1603876.

It is an arithmetic number, because the mean of its divisors is an integer number (12406240).

It is a Poulet number, since it divides 2^338395680-1.

Almost surely, 2^338395681 is an apocalyptic number.

338395681 is the 10621-st octagonal number.

It is an amenable number.

338395681 is a deficient number, since it is larger than the sum of its proper divisors (58603999).

338395681 is a wasteful number, since it uses less digits than its factorization.

338395681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its digits is 466560, while the sum is 46.

The square root of 338395681 is about 18395.5342678597. The cubic root of 338395681 is about 696.8536895787.

It can be divided in two parts, 338395 and 681, that added together give a triangular number (339076 = T₈₂₃).

The spelling of 338395681 in words is "three hundred thirty-eight million, three hundred ninety-five thousand, six hundred eighty-one".