3961680 has 80 divisors (see below), whose sum is σ = 13017024. Its totient is φ = 993280.

The previous prime is 3961669. The next prime is 3961691. The reversal of 3961680 is 861693.

3961680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3961669) and next prime (3961691).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3595 + ... + 4565.

Almost surely, 2^3961680 is an apocalyptic number.

3961680 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 3961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508512).

3961680 is an abundant number, since it is smaller than the sum of its proper divisors (9055344).

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

3961680 is a wasteful number, since it uses less digits than its factorization.

3961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

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

The square root of 3961680 is about 1990.3969453353. The cubic root of 3961680 is about 158.2315677241.

The spelling of 3961680 in words is "three million, nine hundred sixty-one thousand, six hundred eighty".