338197104 has 240 divisors, whose sum is σ = 1138974720. Its totient is φ = 91653120.

The previous prime is 338197091. The next prime is 338197121. The reversal of 338197104 is 401791833.

It is a happy number.

338197104 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 2×338197104² = 228754562307973632, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2468524 + ... + 2468660.

It is an arithmetic number, because the mean of its divisors is an integer number (4745728).

Almost surely, 2^338197104 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 338197104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569487360).

338197104 is an abundant number, since it is smaller than the sum of its proper divisors (800777616).

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

338197104 is a wasteful number, since it uses less digits than its factorization.

338197104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 338197104 is about 18390.1360516990. The cubic root of 338197104 is about 696.7173539224.

The spelling of 338197104 in words is "three hundred thirty-eight million, one hundred ninety-seven thousand, one hundred four".