338555449344 has 416 divisors, whose sum is σ = 1119188883456. Its totient is φ = 88803901440.

The previous prime is 338555449319. The next prime is 338555449367. The reversal of 338555449344 is 443944555833.

It is a super-3 number, since 3×338555449344³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59950329 + ... + 59955975.

Almost surely, 2^338555449344 is an apocalyptic number.

338555449344 is a gapful number since it is divisible by the number (34) 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 338555449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559594441728).

338555449344 is an abundant number, since it is smaller than the sum of its proper divisors (780633434112).

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

338555449344 is a wasteful number, since it uses less digits than its factorization.

338555449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5717 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 57.

The spelling of 338555449344 in words is "three hundred thirty-eight billion, five hundred fifty-five million, four hundred forty-nine thousand, three hundred forty-four".