3785088384 has 384 divisors, whose sum is σ = 13793794560. Its totient is φ = 967680000.

The previous prime is 3785088379. The next prime is 3785088421. The reversal of 3785088384 is 4838805873.

3785088384 is digitally balanced in base 2 and base 4, because in such bases 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 (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3785088384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6297684 + ... + 6298284.

It is an arithmetic number, because the mean of its divisors is an integer number (35921340).

Almost surely, 2^3785088384 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 3785088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896897280).

3785088384 is an abundant number, since it is smaller than the sum of its proper divisors (10008706176).

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

3785088384 is a wasteful number, since it uses less digits than its factorization.

3785088384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 3785088384 is about 61523.0719649141. The cubic root of 3785088384 is about 1558.4468960894.

The spelling of 3785088384 in words is "three billion, seven hundred eighty-five million, eighty-eight thousand, three hundred eighty-four".