3873960 has 128 divisors (see below), whose sum is σ = 13737600. Its totient is φ = 967680.

The previous prime is 3873941. The next prime is 3873983. The reversal of 3873960 is 693783.

3873960 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 18255 + ... + 18465.

It is an arithmetic number, because the mean of its divisors is an integer number (107325).

Almost surely, 2^3873960 is an apocalyptic number.

3873960 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 3873960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868800).

3873960 is an abundant number, since it is smaller than the sum of its proper divisors (9863640).

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

3873960 is a wasteful number, since it uses less digits than its factorization.

3873960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3873960 is about 1968.2377905121. The cubic root of 3873960 is about 157.0549795951.

The spelling of 3873960 in words is "three million, eight hundred seventy-three thousand, nine hundred sixty".