3788128000 has 144 divisors (see below), whose sum is σ = 9659666016. Its totient is φ = 1479475200.

The previous prime is 3788127977. The next prime is 3788128007. The reversal of 3788128000 is 8218873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788128007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374624 + ... + 1377376.

It is an arithmetic number, because the mean of its divisors is an integer number (67081014).

Almost surely, 2^3788128000 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 3788128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829833008).

3788128000 is an abundant number, since it is smaller than the sum of its proper divisors (5871538016).

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

3788128000 is an equidigital number, since it uses as much as digits as its factorization.

3788128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 3788128000 is about 61547.7700652103. The cubic root of 3788128000 is about 1558.8639548357.

The spelling of 3788128000 in words is "three billion, seven hundred eighty-eight million, one hundred twenty-eight thousand".