3944400 has 120 divisors (see below), whose sum is σ = 13377120. Its totient is φ = 990720.

The previous prime is 3944399. The next prime is 3944407. The reversal of 3944400 is 44493.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22714 + ... + 22886.

It is an arithmetic number, because the mean of its divisors is an integer number (111476).

Almost surely, 2^3944400 is an apocalyptic number.

3944400 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 3944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688560).

3944400 is an abundant number, since it is smaller than the sum of its proper divisors (9432720).

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

3944400 is a wasteful number, since it uses less digits than its factorization.

3944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3944400 is about 1986.0513588525. The cubic root of 3944400 is about 158.0011750166.

Adding to 3944400 its reverse (44493), we get a palindrome (3988893).

The spelling of 3944400 in words is "three million, nine hundred forty-four thousand, four hundred".