2983344400 has 45 divisors (see below), whose sum is σ = 7170110373. Its totient is φ = 1192900800.

The previous prime is 2983344389. The next prime is 2983344407. The reversal of 2983344400 is 44433892.

The square root of 2983344400 is 54620.

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

It can be written as a sum of positive squares in only one way, i.e., 1074003984 + 1909340416 = 32772^2 + 43696^2 .

It is a super-2 number, since 2×2983344400² = 17800687618022720000, which contains 22 as substring.

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 2983344400.

It is not an unprimeable number, because it can be changed into a prime (2983344407) 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, 1091035 + ... + 1093765.

Almost surely, 2^2983344400 is an apocalyptic number.

2983344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2983344400 is the 54620-th square number.

It is an amenable number.

2983344400 is an abundant number, since it is smaller than the sum of its proper divisors (4186765973).

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

2983344400 is an frugal number, since it uses more digits than its factorization.

2983344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 2983344400 is about 1439.5755564909.

Multiplying 2983344400 by its product of nonzero digits (82944), we get a square (247450517913600 = 15730560²).

The spelling of 2983344400 in words is "two billion, nine hundred eighty-three million, three hundred forty-four thousand, four hundred".