338873531986080 has 2880 divisors, whose sum is σ = 1534283127336960. Its totient is φ = 68923085856768.

The previous prime is 338873531986079. The next prime is 338873531986091. The reversal of 338873531986080 is 80689135378833.

338873531986080 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 7 + 3 + 5 + 3 + 1 + 9 + 8 + 608 + 0 = 666.

It is a super-3 number, since 3×338873531986080³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 48279456811 + ... + 48279463829.

It is an arithmetic number, because the mean of its divisors is an integer number (532737196992).

Almost surely, 2^{338873531986080} is an apocalyptic number.

338873531986080 is a gapful number since it is divisible by the number (30) 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 338873531986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767141563668480).

338873531986080 is an abundant number, since it is smaller than the sum of its proper divisors (1195409595350880).

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

338873531986080 is a wasteful number, since it uses less digits than its factorization.

338873531986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 338873531986080 in words is "three hundred thirty-eight trillion, eight hundred seventy-three billion, five hundred thirty-one million, nine hundred eighty-six thousand, eighty".