3967800 has 96 divisors (see below), whose sum is σ = 13057200. Its totient is φ = 993280.

The previous prime is 3967793. The next prime is 3967801. The reversal of 3967800 is 87693.

It is a happy number.

3967800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10006 + ... + 10394.

Almost surely, 2^3967800 is an apocalyptic number.

3967800 is a gapful number since it is divisible by the number (30) 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 3967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528600).

3967800 is an abundant number, since it is smaller than the sum of its proper divisors (9089400).

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

3967800 is a wasteful number, since it uses less digits than its factorization.

3967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3967800 is about 1991.9337338375. The cubic root of 3967800 is about 158.3130044691.

The spelling of 3967800 in words is "three million, nine hundred sixty-seven thousand, eight hundred".