338384000 has 64 divisors (see below), whose sum is σ = 841347000. Its totient is φ = 135347200.

The previous prime is 338383999. The next prime is 338384009. The reversal of 338384000 is 483833.

It can be written as a sum of positive squares in 4 ways, for example, as 37847104 + 300536896 = 6152^2 + 17336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×338384000⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (338384009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5426 + ... + 26574.

Almost surely, 2^338384000 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 338384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420673500).

338384000 is an abundant number, since it is smaller than the sum of its proper divisors (502963000).

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

338384000 is an equidigital number, since it uses as much as digits as its factorization.

338384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21178 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 338384000 is about 18395.2167695844. The cubic root of 338384000 is about 696.8456713109.

The spelling of 338384000 in words is "three hundred thirty-eight million, three hundred eighty-four thousand".