3863840 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1382400.

The previous prime is 3863837. The next prime is 3863843. The reversal of 3863840 is 483683.

3863840 is nontrivially palindromic in base 3.

3863840 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3863837) and next prime (3863843).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3863797 and 3863806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863843) 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 15 ways as a sum of consecutive naturals, for example, 94220 + ... + 94260.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3863840 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 3863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3863840 is an abundant number, since it is smaller than the sum of its proper divisors (6296800).

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

3863840 is a wasteful number, since it uses less digits than its factorization.

3863840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3863840 is about 1965.6652817812. The cubic root of 3863840 is about 156.9181013614.

The spelling of 3863840 in words is "three million, eight hundred sixty-three thousand, eight hundred forty".