3944342400 has 192 divisors, whose sum is σ = 13079423280. Its totient is φ = 1044725760.

The previous prime is 3944342377. The next prime is 3944342401. The reversal of 3944342400 is 42434493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944342401) 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, 1505892 + ... + 1508508.

Almost surely, 2^3944342400 is an apocalyptic number.

3944342400 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 3944342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539711640).

3944342400 is an abundant number, since it is smaller than the sum of its proper divisors (9135080880).

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

3944342400 is a wasteful number, since it uses less digits than its factorization.

3944342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3944342400 is about 62803.9998726196. Note that the first 3 decimals coincide. The cubic root of 3944342400 is about 1580.0040591681.

Adding to 3944342400 its reverse (42434493), we get a palindrome (3986776893).

The spelling of 3944342400 in words is "three billion, nine hundred forty-four million, three hundred forty-two thousand, four hundred".