3859680 has 192 divisors, whose sum is σ = 14370048. Its totient is φ = 860160.

The previous prime is 3859673. The next prime is 3859693. The reversal of 3859680 is 869583.

3859680 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 31 ways as a sum of consecutive naturals, for example, 89739 + ... + 89781.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

Almost surely, 2^3859680 is an apocalyptic number.

3859680 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 3859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

3859680 is an abundant number, since it is smaller than the sum of its proper divisors (10510368).

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

3859680 is a wasteful number, since it uses less digits than its factorization.

3859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3859680 is about 1964.6068308952. The cubic root of 3859680 is about 156.8617658926.

The spelling of 3859680 in words is "three million, eight hundred fifty-nine thousand, six hundred eighty".