3839920128 has 384 divisors, whose sum is σ = 12737088000. Its totient is φ = 1133199360.

The previous prime is 3839920103. The next prime is 3839920129. The reversal of 3839920128 is 8210299383.

3839920128 is a `hidden beast` number, since 38 + 399 + 201 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3839920129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35887051 + ... + 35887157.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^3839920128 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 3839920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

3839920128 is an abundant number, since it is smaller than the sum of its proper divisors (8897167872).

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

3839920128 is a wasteful number, since it uses less digits than its factorization.

3839920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3839920128 is about 61967.0890715386. The cubic root of 3839920128 is about 1565.9361991593.

The spelling of 3839920128 in words is "three billion, eight hundred thirty-nine million, nine hundred twenty thousand, one hundred twenty-eight".