3840816 has 120 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 1034880.

The previous prime is 3840791. The next prime is 3840821. The reversal of 3840816 is 6180483.

It is a happy number.

3840816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54061 + ... + 54131.

Almost surely, 2^3840816 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 3840816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

3840816 is an abundant number, since it is smaller than the sum of its proper divisors (8372688).

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

3840816 is a wasteful number, since it uses less digits than its factorization.

3840816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3840816 is about 1959.7999897949. The cubic root of 3840816 is about 156.6057969861.

It can be divided in two parts, 3840 and 816, that added together give a triangular number (4656 = T₉₆).

The spelling of 3840816 in words is "three million, eight hundred forty thousand, eight hundred sixteen".