3980160 has 96 divisors (see below), whose sum is σ = 13763880. Its totient is φ = 1059840.

The previous prime is 3980147. The next prime is 3980161. The reversal of 3980160 is 610893.

3980160 is digitally balanced in base 2, 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5415 + ... + 6105.

Almost surely, 2^3980160 is an apocalyptic number.

3980160 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 3980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881940).

3980160 is an abundant number, since it is smaller than the sum of its proper divisors (9783720).

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

3980160 is a wasteful number, since it uses less digits than its factorization.

3980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3980160 is about 1995.0338342996. The cubic root of 3980160 is about 158.4772197721.

The spelling of 3980160 in words is "three million, nine hundred eighty thousand, one hundred sixty".