3885840 has 160 divisors (see below), whose sum is σ = 15356160. Its totient is φ = 884736.

The previous prime is 3885821. The next prime is 3885841. The reversal of 3885840 is 485883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3885795 and 3885804.

It is not an unprimeable number, because it can be changed into a prime (3885841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14992 + ... + 15248.

It is an arithmetic number, because the mean of its divisors is an integer number (95976).

Almost surely, 2^3885840 is an apocalyptic number.

3885840 is a gapful number since it is divisible by the number (30) 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 3885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678080).

3885840 is an abundant number, since it is smaller than the sum of its proper divisors (11470320).

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

3885840 is a wasteful number, since it uses less digits than its factorization.

3885840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3885840 is about 1971.2534083674. The cubic root of 3885840 is about 157.2153589096.

The spelling of 3885840 in words is "three million, eight hundred eighty-five thousand, eight hundred forty".