3964080 has 80 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1039104.

The previous prime is 3964061. The next prime is 3964087. The reversal of 3964080 is 804693.

It is a Cunningham number, because it is equal to 1991²-1.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19821 + ... + 20019.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^3964080 is an apocalyptic number.

3964080 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 3964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3964080 is an abundant number, since it is smaller than the sum of its proper divisors (8535120).

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

3964080 is a wasteful number, since it uses less digits than its factorization.

3964080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3964080 is about 1990.9997488699. Note that the first 3 decimals coincide. The cubic root of 3964080 is about 158.2635136916.

The spelling of 3964080 in words is "three million, nine hundred sixty-four thousand, eighty".