3144355002400 has 72 divisors (see below), whose sum is σ = 7746580319940. Its totient is φ = 1246203048960.

The previous prime is 3144355002391. The next prime is 3144355002401. The reversal of 3144355002400 is 42005534413.

It can be written as a sum of positive squares in 6 ways, for example, as 1155341217424 + 1989013784976 = 1074868^2 + 1410324^2 .

It is a super-2 number, since 2×3144355002400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3144355002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17942359 + ... + 18116758.

Almost surely, 2^{3144355002400} is an apocalyptic number.

It is an amenable number.

3144355002400 is an abundant number, since it is smaller than the sum of its proper divisors (4602225317540).

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

3144355002400 is a wasteful number, since it uses less digits than its factorization.

3144355002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36059246 (or 36059233 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 3144355002400 in words is "three trillion, one hundred forty-four billion, three hundred fifty-five million, two thousand, four hundred".