338126166 has 72 divisors (see below), whose sum is σ = 897113880. Its totient is φ = 91518336.

The previous prime is 338126143. The next prime is 338126183. The reversal of 338126166 is 661621833.

338126166 is a `hidden beast` number, since 3 + 38 + 1 + 2 + 616 + 6 = 666.

It is a super-2 number, since 2×338126166² = 228658608267719112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338126166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6670 + ... + 26846.

It is an arithmetic number, because the mean of its divisors is an integer number (12459915).

Almost surely, 2^338126166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338126166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448556940).

338126166 is an abundant number, since it is smaller than the sum of its proper divisors (558987714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338126166 is a wasteful number, since it uses less digits than its factorization.

338126166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20218 (or 20208 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 338126166 is about 18388.2072535634. The cubic root of 338126166 is about 696.6686375663.

Adding to 338126166 its reverse (661621833), we get a palindrome (999747999).

The spelling of 338126166 in words is "three hundred thirty-eight million, one hundred twenty-six thousand, one hundred sixty-six".