3924800 has 84 divisors (see below), whose sum is σ = 10582656. Its totient is φ = 1420800.

The previous prime is 3924797. The next prime is 3924803. The reversal of 3924800 is 84293.

3924800 = 5² + 6² + ... + 227².

3924800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3924797) and next prime (3924803).

It is a self number, because there is not a number n which added to its sum of digits gives 3924800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924803) 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, 17489 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (125984).

Almost surely, 2^3924800 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 3924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328).

3924800 is an abundant number, since it is smaller than the sum of its proper divisors (6657856).

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

3924800 is a wasteful number, since it uses less digits than its factorization.

3924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3924800 is about 1981.1107995264. The cubic root of 3924800 is about 157.7390340335.

The spelling of 3924800 in words is "three million, nine hundred twenty-four thousand, eight hundred".