3944397600 has 576 divisors, whose sum is σ = 16772676480. Its totient is φ = 881971200.

The previous prime is 3944397599. The next prime is 3944397659. The reversal of 3944397600 is 67934493.

3944397600 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 39 + 7 + 600 = 666.

3944397600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088162 + ... + 3089438.

It is an arithmetic number, because the mean of its divisors is an integer number (29119230).

Almost surely, 2^3944397600 is an apocalyptic number.

3944397600 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 3944397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386338240).

3944397600 is an abundant number, since it is smaller than the sum of its proper divisors (12828278880).

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

3944397600 is a wasteful number, since it uses less digits than its factorization.

3944397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3944397600 is about 62804.4393335376. The cubic root of 3944397600 is about 1580.0114297096.

The spelling of 3944397600 in words is "three billion, nine hundred forty-four million, three hundred ninety-seven thousand, six hundred".