3960208 has 40 divisors (see below), whose sum is σ = 9235520. Its totient is φ = 1607040.

The previous prime is 3960193. The next prime is 3960217. The reversal of 3960208 is 8020693.

3960208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1198 + ... + 3058.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 2^3960208 is an apocalyptic number.

3960208 is a gapful number since it is divisible by the number (38) 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 3960208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617760).

3960208 is an abundant number, since it is smaller than the sum of its proper divisors (5275312).

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

3960208 is a wasteful number, since it uses less digits than its factorization.

3960208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3960208 is about 1990.0271354934. The cubic root of 3960208 is about 158.2119678135.

The spelling of 3960208 in words is "three million, nine hundred sixty thousand, two hundred eight".