3816960 has 160 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 860160.

The previous prime is 3816941. The next prime is 3816973. The reversal of 3816960 is 696183.

3816960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×3816960⁴ (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53725 + ... + 53795.

Almost surely, 2^3816960 is an apocalyptic number.

3816960 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 3816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

3816960 is an abundant number, since it is smaller than the sum of its proper divisors (10324992).

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

3816960 is an equidigital number, since it uses as much as digits as its factorization.

3816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3816960 is about 1953.7041741267. The cubic root of 3816960 is about 156.2808877603.

The spelling of 3816960 in words is "three million, eight hundred sixteen thousand, nine hundred sixty".