3274128400 has 45 divisors (see below), whose sum is σ = 7868843863. Its totient is φ = 1309193600.

The previous prime is 3274128337. The next prime is 3274128421. The reversal of 3274128400 is 48214723.

The square root of 3274128400 is 57220.

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 22391824 + 3251736576 = 4732^2 + 57024^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 1142970 + ... + 1145830.

Almost surely, 2^3274128400 is an apocalyptic number.

3274128400 is the 57220-th square number.

It is an amenable number.

3274128400 is an abundant number, since it is smaller than the sum of its proper divisors (4594715463).

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

3274128400 is an frugal number, since it uses more digits than its factorization.

3274128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The cubic root of 3274128400 is about 1484.9046559123.

The spelling of 3274128400 in words is "three billion, two hundred seventy-four million, one hundred twenty-eight thousand, four hundred".