3144314400 has 288 divisors, whose sum is σ = 10530451008. Its totient is φ = 814694400.

The previous prime is 3144314377. The next prime is 3144314417. The reversal of 3144314400 is 44134413.

3144314400 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22951132 + ... + 22951268.

It is an arithmetic number, because the mean of its divisors is an integer number (36564066).

Almost surely, 2^3144314400 is an apocalyptic number.

3144314400 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 3144314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265225504).

3144314400 is an abundant number, since it is smaller than the sum of its proper divisors (7386136608).

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

3144314400 is a wasteful number, since it uses less digits than its factorization.

3144314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144314400 is about 56074.1865745728. The cubic root of 3144314400 is about 1465.0147194955.

Adding to 3144314400 its reverse (44134413), we get a palindrome (3188448813).

It can be divided in two parts, 3144 and 314400, that multiplied together give a square (988473600 = 31440²).

The spelling of 3144314400 in words is "three billion, one hundred forty-four million, three hundred fourteen thousand, four hundred".