3824400 has 60 divisors (see below), whose sum is σ = 12254672. Its totient is φ = 1019520.

The previous prime is 3824347. The next prime is 3824413. The reversal of 3824400 is 44283.

It is a happy number.

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

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394 + ... + 2793.

Almost surely, 2^3824400 is an apocalyptic number.

3824400 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 3824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127336).

3824400 is an abundant number, since it is smaller than the sum of its proper divisors (8430272).

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

3824400 is a wasteful number, since it uses less digits than its factorization.

3824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3824400 is about 1955.6073225471. The cubic root of 3824400 is about 156.3823625081.

Adding to 3824400 its reverse (44283), we get a palindrome (3868683).

It can be divided in two parts, 3824 and 400, that added together give a palindrome (4224).

The spelling of 3824400 in words is "three million, eight hundred twenty-four thousand, four hundred".