3034121545728 has 1728 divisors, whose sum is σ = 12075629791680. Its totient is φ = 751799107584.

The previous prime is 3034121545727. The next prime is 3034121545733. The reversal of 3034121545728 is 8275451214303.

3034121545728 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 1 + 21 + 54 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (3034121545727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5389203175 + ... + 5389203737.

It is an arithmetic number, because the mean of its divisors is an integer number (6988211685).

Almost surely, 2^{3034121545728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034121545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037814895840).

3034121545728 is an abundant number, since it is smaller than the sum of its proper divisors (9041508245952).

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

3034121545728 is a wasteful number, since it uses less digits than its factorization.

3034121545728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3034121545728 in words is "three trillion, thirty-four billion, one hundred twenty-one million, five hundred forty-five thousand, seven hundred twenty-eight".