338937984 has 192 divisors, whose sum is σ = 1216313280. Its totient is φ = 88012800.

The previous prime is 338937961. The next prime is 338938043. The reversal of 338937984 is 489739833.

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

It is a super-2 number, since 2×338937984² = 229757913995968512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 338937984.

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, 86794 + ... + 90614.

It is an arithmetic number, because the mean of its divisors is an integer number (6334965).

Almost surely, 2^338937984 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 338937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608156640).

338937984 is an abundant number, since it is smaller than the sum of its proper divisors (877375296).

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

338937984 is a wasteful number, since it uses less digits than its factorization.

338937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3844 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 338937984 is about 18410.2684391076. The cubic root of 338937984 is about 697.2257433347.

The spelling of 338937984 in words is "three hundred thirty-eight million, nine hundred thirty-seven thousand, nine hundred eighty-four".