338163840 has 192 divisors, whose sum is σ = 1334698560. Its totient is φ = 77285376.

The previous prime is 338163823. The next prime is 338163853. The reversal of 338163840 is 48361833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×338163840³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 338163795 and 338163804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36127 + ... + 44513.

It is an arithmetic number, because the mean of its divisors is an integer number (6951555).

Almost surely, 2^338163840 is an apocalyptic number.

338163840 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 338163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667349280).

338163840 is an abundant number, since it is smaller than the sum of its proper divisors (996534720).

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

338163840 is a wasteful number, since it uses less digits than its factorization.

338163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8404 counting only the distinct ones).

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

The square root of 338163840 is about 18389.2316315827. The cubic root of 338163840 is about 696.6945108666.

The spelling of 338163840 in words is "three hundred thirty-eight million, one hundred sixty-three thousand, eight hundred forty".