338121168 has 160 divisors (see below), whose sum is σ = 1111833600. Its totient is φ = 87776640.

The previous prime is 338121151. The next prime is 338121193. The reversal of 338121168 is 861121833.

It is a super-2 number, since 2×338121168² = 228651848499368448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180171 + ... + 182037.

It is an arithmetic number, because the mean of its divisors is an integer number (6948960).

Almost surely, 2^338121168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555916800).

338121168 is an abundant number, since it is smaller than the sum of its proper divisors (773712432).

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

338121168 is a wasteful number, since it uses less digits than its factorization.

338121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1890 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 338121168 is about 18388.0713507426. The cubic root of 338121168 is about 696.6652049551.

It can be divided in two parts, 33812 and 1168, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 338121168 in words is "three hundred thirty-eight million, one hundred twenty-one thousand, one hundred sixty-eight".