338359392 has 144 divisors (see below), whose sum is σ = 1123379712. Its totient is φ = 94590720.

The previous prime is 338359387. The next prime is 338359423. The reversal of 338359392 is 293953833.

It is a happy number.

338359392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×338359392³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 92967 + ... + 96537.

It is an arithmetic number, because the mean of its divisors is an integer number (7801248).

Almost surely, 2^338359392 is an apocalyptic number.

338359392 is a gapful number since it is divisible by the number (32) 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 338359392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561689856).

338359392 is an abundant number, since it is smaller than the sum of its proper divisors (785020320).

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

338359392 is a wasteful number, since it uses less digits than its factorization.

338359392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3630 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 338359392 is about 18394.5478878933. The cubic root of 338359392 is about 696.8287788712.

The spelling of 338359392 in words is "three hundred thirty-eight million, three hundred fifty-nine thousand, three hundred ninety-two".