3056887680 has 1024 divisors, whose sum is σ = 13536460800. Its totient is φ = 567705600.

The previous prime is 3056887679. The next prime is 3056887681. The reversal of 3056887680 is 867886503.

It is an interprime number because it is at equal distance from previous prime (3056887679) and next prime (3056887681).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3056887681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98609265 + ... + 98609295.

It is an arithmetic number, because the mean of its divisors is an integer number (13219200).

Almost surely, 2^3056887680 is an apocalyptic number.

3056887680 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 3056887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768230400).

3056887680 is an abundant number, since it is smaller than the sum of its proper divisors (10479573120).

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

3056887680 is a wasteful number, since it uses less digits than its factorization.

3056887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 3056887680 is about 55289.1280452134. The cubic root of 3056887680 is about 1451.3087953146.

The spelling of 3056887680 in words is "three billion, fifty-six million, eight hundred eighty-seven thousand, six hundred eighty".