3908000 has 48 divisors (see below), whose sum is σ = 9611784. Its totient is φ = 1561600.

The previous prime is 3907991. The next prime is 3908017. The reversal of 3908000 is 8093.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 1752976 = 1468^2 + 1324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3512 + ... + 4488.

Almost surely, 2^3908000 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 3908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805892).

3908000 is an abundant number, since it is smaller than the sum of its proper divisors (5703784).

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

3908000 is an equidigital number, since it uses as much as digits as its factorization.

3908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3908000 is about 1976.8662069043. The cubic root of 3908000 is about 157.5136462519.

The spelling of 3908000 in words is "three million, nine hundred eight thousand".