338890000000 has 128 divisors (see below), whose sum is σ = 843938269200. Its totient is φ = 135552000000.

The previous prime is 338889999997. The next prime is 338890000039. The reversal of 338890000000 is 98833.

It can be written as a sum of positive squares in 8 ways, for example, as 239402746944 + 99487253056 = 489288^2 + 315416^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338890000000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9983056 + ... + 10016944.

Almost surely, 2^338890000000 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 338890000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421969134600).

338890000000 is an abundant number, since it is smaller than the sum of its proper divisors (505048269200).

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

338890000000 is an frugal number, since it uses more digits than its factorization.

338890000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33938 (or 33896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 338890000000 its reverse (98833), we get a palindrome (338890098833).

The spelling of 338890000000 in words is "three hundred thirty-eight billion, eight hundred ninety million", and thus it is an aban number.