3944102400 has 720 divisors, whose sum is σ = 16596300864. Its totient is φ = 875888640.

The previous prime is 3944102377. The next prime is 3944102423. The reversal of 3944102400 is 42014493.

3944102400 is a `hidden beast` number, since 3 + 9 + 4 + 410 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3944102377) and next prime (3944102423).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54028764 + ... + 54028836.

Almost surely, 2^3944102400 is an apocalyptic number.

3944102400 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 3944102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298150432).

3944102400 is an abundant number, since it is smaller than the sum of its proper divisors (12652198464).

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

3944102400 is a wasteful number, since it uses less digits than its factorization.

3944102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3944102400 is about 62802.0891372254. The cubic root of 3944102400 is about 1579.9720125363.

Adding to 3944102400 its reverse (42014493), we get a palindrome (3986116893).

The spelling of 3944102400 in words is "three billion, nine hundred forty-four million, one hundred two thousand, four hundred".