3144966400 has 81 divisors (see below), whose sum is σ = 7795403623. Its totient is φ = 1256192000.

The previous prime is 3144966397. The next prime is 3144966401. The reversal of 3144966400 is 46694413.

The square root of 3144966400 is 56080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 213393664 + 2931572736 = 14608^2 + 54144^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3144966400.

It is not an unprimeable number, because it can be changed into a prime (3144966401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4486050 + ... + 4486750.

Almost surely, 2^3144966400 is an apocalyptic number.

3144966400 is the 56080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144966400

3144966400 is an abundant number, since it is smaller than the sum of its proper divisors (4650437223).

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

3144966400 is an frugal number, since it uses more digits than its factorization.

3144966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 3144966400 is about 1465.1159735328.

The spelling of 3144966400 in words is "three billion, one hundred forty-four million, nine hundred sixty-six thousand, four hundred".