3087268297344 has 2048 divisors, whose sum is σ = 12204748800000. Its totient is φ = 770339082240.

The previous prime is 3087268297339. The next prime is 3087268297357. The reversal of 3087268297344 is 4437928627803.

3087268297344 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 268 + 29 + 7 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39079345497 + ... + 39079345575.

It is an arithmetic number, because the mean of its divisors is an integer number (5959350000).

Almost surely, 2^{3087268297344} 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 3087268297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102374400000).

3087268297344 is an abundant number, since it is smaller than the sum of its proper divisors (9117480502656).

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

3087268297344 is an frugal number, since it uses more digits than its factorization.

3087268297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 3087268297344 in words is "three trillion, eighty-seven billion, two hundred sixty-eight million, two hundred ninety-seven thousand, three hundred forty-four".