3070405928304 has 720 divisors, whose sum is σ = 10739223181440. Its totient is φ = 809512704000.

The previous prime is 3070405928287. The next prime is 3070405928309. The reversal of 3070405928304 is 4038295040703.

It is a self number, because there is not a number n which added to its sum of digits gives 3070405928304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3070405928309) 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, 1073191834 + ... + 1073194694.

It is an arithmetic number, because the mean of its divisors is an integer number (14915587752).

Almost surely, 2^{3070405928304} 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 3070405928304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369611590720).

3070405928304 is an abundant number, since it is smaller than the sum of its proper divisors (7668817253136).

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

3070405928304 is a wasteful number, since it uses less digits than its factorization.

3070405928304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3070405928304 in words is "three trillion, seventy billion, four hundred five million, nine hundred twenty-eight thousand, three hundred four".