338834160 has 480 divisors, whose sum is σ = 1411338240. Its totient is φ = 71165952.

The previous prime is 338834159. The next prime is 338834161. The reversal of 338834160 is 61438833.

It is a happy number.

338834160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338834159) and next prime (338834161).

It is a super-2 number, since 2×338834160² = 229617175965811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338834161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4289001 + ... + 4289079.

It is an arithmetic number, because the mean of its divisors is an integer number (2940288).

Almost surely, 2^338834160 is an apocalyptic number.

338834160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338834160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705669120).

338834160 is an abundant number, since it is smaller than the sum of its proper divisors (1072504080).

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

338834160 is a wasteful number, since it uses less digits than its factorization.

338834160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 338834160 is about 18407.4484923902. The cubic root of 338834160 is about 697.1545443134.

It can be divided in two parts, 3 and 38834160, that multiplied together give a triangular number (116502480 = T₁₅₂₆₄).

The spelling of 338834160 in words is "three hundred thirty-eight million, eight hundred thirty-four thousand, one hundred sixty".