3087423682560 has 960 divisors, whose sum is σ = 12698625139200. Its totient is φ = 702828969984.

The previous prime is 3087423682531. The next prime is 3087423682597. The reversal of 3087423682560 is 652863247803.

3087423682560 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 42 + 36 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3087423682497 and 3087423682506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1643119701 + ... + 1643121579.

It is an arithmetic number, because the mean of its divisors is an integer number (13227734520).

Almost surely, 2^{3087423682560} is an apocalyptic number.

3087423682560 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 3087423682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349312569600).

3087423682560 is an abundant number, since it is smaller than the sum of its proper divisors (9611201456640).

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

3087423682560 is a wasteful number, since it uses less digits than its factorization.

3087423682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3087423682560 in words is "three trillion, eighty-seven billion, four hundred twenty-three million, six hundred eighty-two thousand, five hundred sixty".