3813888 has 80 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 1167360.

The previous prime is 3813871. The next prime is 3813893. The reversal of 3813888 is 8883183.

3813888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19873 + ... + 20063.

Almost surely, 2^3813888 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 3813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3813888 is an abundant number, since it is smaller than the sum of its proper divisors (7185408).

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

3813888 is a wasteful number, since it uses less digits than its factorization.

3813888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 3813888 is about 1952.9178170113. The cubic root of 3813888 is about 156.2389500452.

It can be divided in two parts, 38138 and 88, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 3813888 in words is "three million, eight hundred thirteen thousand, eight hundred eighty-eight".