3848688 has 80 divisors (see below), whose sum is σ = 11308800. Its totient is φ = 1252800.

The previous prime is 3848687. The next prime is 3848699. The reversal of 3848688 is 8868483.

3848688 is nontrivially palindromic in base 7.

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

It is an Ulam number.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25413 + ... + 25563.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 2^3848688 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 3848688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654400).

3848688 is an abundant number, since it is smaller than the sum of its proper divisors (7460112).

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

3848688 is a wasteful number, since it uses less digits than its factorization.

3848688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3848688 is about 1961.8073299894. The cubic root of 3848688 is about 156.7127151998.

The spelling of 3848688 in words is "three million, eight hundred forty-eight thousand, six hundred eighty-eight".