3788409053088 has 864 divisors, whose sum is σ = 12576498794496. Its totient is φ = 1079350272000.

The previous prime is 3788409053081. The next prime is 3788409053111. The reversal of 3788409053088 is 8803509048873.

3788409053088 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 4 + 0 + 90 + 530 + 8 + 8 = 666.

3788409053088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3788409053081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7271418268 + ... + 7271418788.

It is an arithmetic number, because the mean of its divisors is an integer number (14556132864).

Almost surely, 2^{3788409053088} 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 3788409053088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288249397248).

3788409053088 is an abundant number, since it is smaller than the sum of its proper divisors (8788089741408).

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

3788409053088 is a wasteful number, since it uses less digits than its factorization.

3788409053088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3788409053088 in words is "three trillion, seven hundred eighty-eight billion, four hundred nine million, fifty-three thousand, eighty-eight".