3808896 has 128 divisors (see below), whose sum is σ = 12566400. Its totient is φ = 995328.

The previous prime is 3808853. The next prime is 3808907. The reversal of 3808896 is 6988083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34890 + ... + 34998.

It is an arithmetic number, because the mean of its divisors is an integer number (98175).

Almost surely, 2^3808896 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 3808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283200).

3808896 is an abundant number, since it is smaller than the sum of its proper divisors (8757504).

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

3808896 is a wasteful number, since it uses less digits than its factorization.

3808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3808896 is about 1951.6393109384. The cubic root of 3808896 is about 156.1707532011.

The spelling of 3808896 in words is "three million, eight hundred eight thousand, eight hundred ninety-six".