338789767680 has 960 divisors, whose sum is σ = 1451357107200. Its totient is φ = 71122157568.

The previous prime is 338789767597. The next prime is 338789767703. The reversal of 338789767680 is 86767987833.

338789767680 is a `hidden beast` number, since 338 + 7 + 89 + 76 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×338789767680² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338789767599 and 338789767608.

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, 731727129 + ... + 731727591.

It is an arithmetic number, because the mean of its divisors is an integer number (1511830320).

Almost surely, 2^338789767680 is an apocalyptic number.

338789767680 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 338789767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725678553600).

338789767680 is an abundant number, since it is smaller than the sum of its proper divisors (1112567339520).

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

338789767680 is a wasteful number, since it uses less digits than its factorization.

338789767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 338789767680 in words is "three hundred thirty-eight billion, seven hundred eighty-nine million, seven hundred sixty-seven thousand, six hundred eighty".