3838896 has 60 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 1252992.

The previous prime is 3838883. The next prime is 3838897. The reversal of 3838896 is 6988383.

3838896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3838897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7381 + ... + 7883.

Almost surely, 2^3838896 is an apocalyptic number.

3838896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

3838896 is an abundant number, since it is smaller than the sum of its proper divisors (7129152).

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

3838896 is a wasteful number, since it uses less digits than its factorization.

3838896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3838896 is about 1959.3100826566. The cubic root of 3838896 is about 156.5796972157.

The spelling of 3838896 in words is "three million, eight hundred thirty-eight thousand, eight hundred ninety-six".