3968880 has 80 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1010944.

The previous prime is 3968873. The next prime is 3968893. The reversal of 3968880 is 888693.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5161 + ... + 5879.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^3968880 is an apocalyptic number.

3968880 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 3968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

3968880 is an abundant number, since it is smaller than the sum of its proper divisors (8887440).

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

3968880 is a wasteful number, since it uses less digits than its factorization.

3968880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3968880 is about 1992.2048087483. The cubic root of 3968880 is about 158.3273669651.

The spelling of 3968880 in words is "three million, nine hundred sixty-eight thousand, eight hundred eighty".