3960880 has 80 divisors (see below), whose sum is σ = 11499264. Its totient is φ = 1232640.

The previous prime is 3960871. The next prime is 3960883. The reversal of 3960880 is 880693.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3960883) 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, 5839 + ... + 6481.

Almost surely, 2^3960880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749632).

3960880 is an abundant number, since it is smaller than the sum of its proper divisors (7538384).

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

3960880 is a wasteful number, since it uses less digits than its factorization.

3960880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3960880 is about 1990.1959702502. The cubic root of 3960880 is about 158.2209162012.

The spelling of 3960880 in words is "three million, nine hundred sixty thousand, eight hundred eighty".