3789109752768 has 336 divisors, whose sum is σ = 11450622768000. Its totient is φ = 1196312592384.

The previous prime is 3789109752733. The next prime is 3789109752811. The reversal of 3789109752768 is 8672579019873.

3789109752768 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 1 + 0 + 97 + 527 + 6 + 8 = 666.

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 = 3789109752696 and 3789109752705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207170568 + ... + 207188856.

Almost surely, 2^{3789109752768} 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 3789109752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725311384000).

3789109752768 is an abundant number, since it is smaller than the sum of its proper divisors (7661513015232).

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

3789109752768 is a wasteful number, since it uses less digits than its factorization.

3789109752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18572 (or 18559 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 3789109752768 in words is "three trillion, seven hundred eighty-nine billion, one hundred nine million, seven hundred fifty-two thousand, seven hundred sixty-eight".