3785388683328 has 672 divisors, whose sum is σ = 13211496990720. Its totient is φ = 1059490575360.

The previous prime is 3785388683309. The next prime is 3785388683359. The reversal of 3785388683328 is 8233868835873.

3785388683328 is a `hidden beast` number, since 3 + 7 + 8 + 538 + 8 + 6 + 83 + 3 + 2 + 8 = 666.

3785388683328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 979907125 + ... + 979910987.

It is an arithmetic number, because the mean of its divisors is an integer number (19659965760).

Almost surely, 2^{3785388683328} 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 3785388683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605748495360).

3785388683328 is an abundant number, since it is smaller than the sum of its proper divisors (9426108307392).

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

3785388683328 is a wasteful number, since it uses less digits than its factorization.

3785388683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4109 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 3785388683328 in words is "three trillion, seven hundred eighty-five billion, three hundred eighty-eight million, six hundred eighty-three thousand, three hundred twenty-eight".