3873680 has 40 divisors (see below), whose sum is σ = 9233784. Its totient is φ = 1510400.

The previous prime is 3873679. The next prime is 3873691. The reversal of 3873680 is 863783.

3873680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 3564544 = 556^2 + 1888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3873680.

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 7 ways as a sum of consecutive naturals, for example, 2690 + ... + 3870.

Almost surely, 2^3873680 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 3873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616892).

3873680 is an abundant number, since it is smaller than the sum of its proper divisors (5360104).

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

3873680 is a wasteful number, since it uses less digits than its factorization.

3873680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 3873680 is about 1968.1666596099. The cubic root of 3873680 is about 157.0511956587.

The spelling of 3873680 in words is "three million, eight hundred seventy-three thousand, six hundred eighty".