338438839272 has 384 divisors, whose sum is σ = 1003462656000. Its totient is φ = 94670622720.

The previous prime is 338438839261. The next prime is 338438839307. The reversal of 338438839272 is 272938834833.

It is a super-2 number, since 2×338438839272² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151155129 + ... + 151157367.

It is an arithmetic number, because the mean of its divisors is an integer number (2613184000).

Almost surely, 2^338438839272 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 338438839272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501731328000).

338438839272 is an abundant number, since it is smaller than the sum of its proper divisors (665023816728).

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

338438839272 is a wasteful number, since it uses less digits than its factorization.

338438839272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2348 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 338438839272 in words is "three hundred thirty-eight billion, four hundred thirty-eight million, eight hundred thirty-nine thousand, two hundred seventy-two".