3025306887680 has 640 divisors, whose sum is σ = 9232714782720. Its totient is φ = 923369472000.

The previous prime is 3025306887623. The next prime is 3025306887683. The reversal of 3025306887680 is 867886035203.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3025306887683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3739563116 + ... + 3739563924.

It is an arithmetic number, because the mean of its divisors is an integer number (14426116848).

Almost surely, 2^{3025306887680} 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 3025306887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616357391360).

3025306887680 is an abundant number, since it is smaller than the sum of its proper divisors (6207407895040).

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

3025306887680 is a wasteful number, since it uses less digits than its factorization.

3025306887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 3025306887680 in words is "three trillion, twenty-five billion, three hundred six million, eight hundred eighty-seven thousand, six hundred eighty".