3991080 has 64 divisors (see below), whose sum is σ = 12153600. Its totient is φ = 1048320.

The previous prime is 3991051. The next prime is 3991087. The reversal of 3991080 is 801993.

It is a happy number.

3991080 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 (30).

It is not an unprimeable number, because it can be changed into a prime (3991087) 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 15 ways as a sum of consecutive naturals, for example, 9270 + ... + 9690.

It is an arithmetic number, because the mean of its divisors is an integer number (189900).

Almost surely, 2^3991080 is an apocalyptic number.

3991080 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 3991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076800).

3991080 is an abundant number, since it is smaller than the sum of its proper divisors (8162520).

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

3991080 is a wasteful number, since it uses less digits than its factorization.

3991080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 3991080 is about 1997.7687553869. The cubic root of 3991080 is about 158.6220205655.

It can be divided in two parts, 39 and 91080, that added together give a palindrome (91119).

The spelling of 3991080 in words is "three million, nine hundred ninety-one thousand, eighty".