338204160 has 400 divisors, whose sum is σ = 1390330656. Its totient is φ = 76972032.

The previous prime is 338204147. The next prime is 338204179. The reversal of 338204160 is 61402833.

It is a happy number.

338204160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338204160² = 228764107682611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451404 + ... + 1451636.

Almost surely, 2^338204160 is an apocalyptic number.

338204160 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 338204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695165328).

338204160 is an abundant number, since it is smaller than the sum of its proper divisors (1052126496).

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

338204160 is an equidigital number, since it uses as much as digits as its factorization.

338204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 338204160 is about 18390.3278926723. The cubic root of 338204160 is about 696.7221992265.

Adding to 338204160 its reverse (61402833), we get a palindrome (399606993).

The spelling of 338204160 in words is "three hundred thirty-eight million, two hundred four thousand, one hundred sixty".