3063480078400 has 945 divisors, whose sum is σ = 9482766534429. Its totient is φ = 973883796480.

The previous prime is 3063480078397. The next prime is 3063480078401. The reversal of 3063480078400 is 48700843603.

It is a happy number.

The square root of 3063480078400 is 1750280.

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., 1102852828224 + 1960627250176 = 1050168^2 + 1400224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3063480078401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 65180427177 + ... + 65180427223.

Almost surely, 2^{3063480078400} is an apocalyptic number.

3063480078400 is the 1750280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3063480078400

3063480078400 is an abundant number, since it is smaller than the sum of its proper divisors (6419286456029).

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

3063480078400 is an frugal number, since it uses more digits than its factorization.

3063480078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 3063480078400 in words is "three trillion, sixty-three billion, four hundred eighty million, seventy-eight thousand, four hundred".