3028713702400 has 297 divisors, whose sum is σ = 7663222980021. Its totient is φ = 1186870394880.

The previous prime is 3028713702397. The next prime is 3028713702451. The reversal of 3028713702400 is 42073178203.

The square root of 3028713702400 is 1740320.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2804901446656 + 223812255744 = 1674784^2 + 473088^2 .

It is a super-2 number, since 2×3028713702400² (a number of 26 digits) 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 3028713702400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20326937526 + ... + 20326937674.

Almost surely, 2^{3028713702400} is an apocalyptic number.

3028713702400 is the 1740320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3028713702400

3028713702400 is an abundant number, since it is smaller than the sum of its proper divisors (4634509277621).

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

3028713702400 is an frugal number, since it uses more digits than its factorization.

3028713702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 3028713702400 in words is "three trillion, twenty-eight billion, seven hundred thirteen million, seven hundred two thousand, four hundred".