3982800 has 60 divisors (see below), whose sum is σ = 12762080. Its totient is φ = 1061760.

The previous prime is 3982763. The next prime is 3982801. The reversal of 3982800 is 82893.

3982800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982801) 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 11 ways as a sum of consecutive naturals, for example, 460 + ... + 2859.

Almost surely, 2^3982800 is an apocalyptic number.

3982800 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 3982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381040).

3982800 is an abundant number, since it is smaller than the sum of its proper divisors (8779280).

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

3982800 is a wasteful number, since it uses less digits than its factorization.

3982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3982800 is about 1995.6953675348. The cubic root of 3982800 is about 158.5122508087.

The spelling of 3982800 in words is "three million, nine hundred eighty-two thousand, eight hundred".