338739046778880 has 1440 divisors, whose sum is σ = 1384634092121280. Its totient is φ = 78547065569280.

The previous prime is 338739046778879. The next prime is 338739046778933. The reversal of 338739046778880 is 88877640937833.

It is a happy number.

338739046778880 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 3 + 9 + 0 + 467 + 78 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×338739046778880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 338739046778880.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4826476269 + ... + 4826546451.

It is an arithmetic number, because the mean of its divisors is an integer number (961551452862).

Almost surely, 2^{338739046778880} is an apocalyptic number.

338739046778880 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 338739046778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692317046060640).

338739046778880 is an abundant number, since it is smaller than the sum of its proper divisors (1045895045342400).

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

338739046778880 is a wasteful number, since it uses less digits than its factorization.

338739046778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70279 (or 70227 counting only the distinct ones).

The product of its (nonzero) digits is 8193540096, while the sum is 81.

The spelling of 338739046778880 in words is "three hundred thirty-eight trillion, seven hundred thirty-nine billion, forty-six million, seven hundred seventy-eight thousand, eight hundred eighty".