3144112400 has 360 divisors, whose sum is σ = 9447936960. Its totient is φ = 996019200.

The previous prime is 3144112393. The next prime is 3144112441. The reversal of 3144112400 is 42114413.

3144112400 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11954669 + ... + 11954931.

Almost surely, 2^3144112400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723968480).

3144112400 is an abundant number, since it is smaller than the sum of its proper divisors (6303824560).

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

3144112400 is a wasteful number, since it uses less digits than its factorization.

3144112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3144112400 is about 56072.3853603536. The cubic root of 3144112400 is about 1464.9833465396.

Adding to 3144112400 its reverse (42114413), we get a palindrome (3186226813).

The spelling of 3144112400 in words is "three billion, one hundred forty-four million, one hundred twelve thousand, four hundred".