3960800 has 36 divisors (see below), whose sum is σ = 9671256. Its totient is φ = 1584000.

The previous prime is 3960799. The next prime is 3960811. The reversal of 3960800 is 80693.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3960800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1676 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (268646).

Almost surely, 2^3960800 is an apocalyptic number.

It is an amenable number.

3960800 is an abundant number, since it is smaller than the sum of its proper divisors (5710456).

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

3960800 is a wasteful number, since it uses less digits than its factorization.

3960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3960800 is about 1990.1758716254. The cubic root of 3960800 is about 158.2198509700.

The spelling of 3960800 in words is "three million, nine hundred sixty thousand, eight hundred".