3856320 has 168 divisors, whose sum is σ = 14423136. Its totient is φ = 940032.

The previous prime is 3856289. The next prime is 3856357. The reversal of 3856320 is 236583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37389 + ... + 37491.

It is an arithmetic number, because the mean of its divisors is an integer number (85852).

Almost surely, 2^3856320 is an apocalyptic number.

3856320 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 3856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211568).

3856320 is an abundant number, since it is smaller than the sum of its proper divisors (10566816).

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

3856320 is a wasteful number, since it uses less digits than its factorization.

3856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3856320 is about 1963.7515117754. The cubic root of 3856320 is about 156.8162346095.

It can be divided in two parts, 38563 and 20, that added together give a palindrome (38583).

The spelling of 3856320 in words is "three million, eight hundred fifty-six thousand, three hundred twenty".