3856640 has 72 divisors (see below), whose sum is σ = 9713088. Its totient is φ = 1464320.

The previous prime is 3856631. The next prime is 3856661. The reversal of 3856640 is 466583.

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 = 3856597 and 3856606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29375 + ... + 29505.

It is an arithmetic number, because the mean of its divisors is an integer number (134904).

Almost surely, 2^3856640 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 3856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856544).

3856640 is an abundant number, since it is smaller than the sum of its proper divisors (5856448).

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

3856640 is a wasteful number, since it uses less digits than its factorization.

3856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3856640 is about 1963.8329867888. The cubic root of 3856640 is about 156.8205720614.

The spelling of 3856640 in words is "three million, eight hundred fifty-six thousand, six hundred forty".