3063341210400 has 864 divisors, whose sum is σ = 11327682981888. Its totient is φ = 778087987200.

The previous prime is 3063341210351. The next prime is 3063341210411. The reversal of 3063341210400 is 40121433603.

3063341210400 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 3 + 41 + 210 + 400 = 666.

3063341210400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5218638907 + ... + 5218639493.

It is an arithmetic number, because the mean of its divisors is an integer number (13110744192).

Almost surely, 2^{3063341210400} is an apocalyptic number.

3063341210400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3063341210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663841490944).

3063341210400 is an abundant number, since it is smaller than the sum of its proper divisors (8264341771488).

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

3063341210400 is a wasteful number, since it uses less digits than its factorization.

3063341210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 3063341210400 in words is "three trillion, sixty-three billion, three hundred forty-one million, two hundred ten thousand, four hundred".