3144983400 has 144 divisors (see below), whose sum is σ = 11374441260. Its totient is φ = 774144000.

The previous prime is 3144983399. The next prime is 3144983441. The reversal of 3144983400 is 43894413.

It can be written as a sum of positive squares in 6 ways, for example, as 711929124 + 2433054276 = 26682^2 + 49326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 43801 + ... + 90600.

Almost surely, 2^3144983400 is an apocalyptic number.

3144983400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144983400 is an abundant number, since it is smaller than the sum of its proper divisors (8229457860).

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

3144983400 is a wasteful number, since it uses less digits than its factorization.

3144983400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134436 (or 134424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3144983400 is about 56080.1515689821. The cubic root of 3144983400 is about 1465.1186134048.

The spelling of 3144983400 in words is "three billion, one hundred forty-four million, nine hundred eighty-three thousand, four hundred".