3880008 has 128 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1108800.

The previous prime is 3880007. The next prime is 3880033. The reversal of 3880008 is 8000883.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3880003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54613 + ... + 54683.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

Almost surely, 2^3880008 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 3880008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

3880008 is an abundant number, since it is smaller than the sum of its proper divisors (8561592).

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

3880008 is a wasteful number, since it uses less digits than its factorization.

3880008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3880008 is about 1969.7735910505. The cubic root of 3880008 is about 157.1366681545.

The spelling of 3880008 in words is "three million, eight hundred eighty thousand, eight".