3838047408 has 160 divisors (see below), whose sum is σ = 11928889280. Its totient is φ = 1174487040.

The previous prime is 3838047397. The next prime is 3838047413. The reversal of 3838047408 is 8047408383.

It is a happy number.

3838047408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082118 + ... + 1085658.

It is an arithmetic number, because the mean of its divisors is an integer number (74555558).

Almost surely, 2^3838047408 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 3838047408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964444640).

3838047408 is an abundant number, since it is smaller than the sum of its proper divisors (8090841872).

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

3838047408 is a wasteful number, since it uses less digits than its factorization.

3838047408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3838047408 is about 61951.9766270617. The cubic root of 3838047408 is about 1565.6815899657.

The spelling of 3838047408 in words is "three billion, eight hundred thirty-eight million, forty-seven thousand, four hundred eight".