3880968 has 64 divisors (see below), whose sum is σ = 11948160. Its totient is φ = 1022976.

The previous prime is 3880949. The next prime is 3880999. The reversal of 3880968 is 8690883.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1296 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 2^3880968 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 3880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974080).

3880968 is an abundant number, since it is smaller than the sum of its proper divisors (8067192).

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

3880968 is a wasteful number, since it uses less digits than its factorization.

3880968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

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

The square root of 3880968 is about 1970.0172588076. The cubic root of 3880968 is about 157.1496267843.

The spelling of 3880968 in words is "three million, eight hundred eighty thousand, nine hundred sixty-eight".