3816840 has 64 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 957440.

The previous prime is 3816811. The next prime is 3816847. The reversal of 3816840 is 486183.

It is a happy number.

3816840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3816798 and 3816807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816847) 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, 1105 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 2^3816840 is an apocalyptic number.

3816840 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 3816840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

3816840 is an abundant number, since it is smaller than the sum of its proper divisors (8313720).

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

3816840 is a wasteful number, since it uses less digits than its factorization.

3816840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1898 counting only the distinct ones).

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

The square root of 3816840 is about 1953.6734629922. The cubic root of 3816840 is about 156.2792499907.

It can be divided in two parts, 3816 and 840, that added together give a triangular number (4656 = T₉₆).

The spelling of 3816840 in words is "three million, eight hundred sixteen thousand, eight hundred forty".