3087097284096 has 640 divisors, whose sum is σ = 11156303093760. Its totient is φ = 822747856896.

The previous prime is 3087097284091. The next prime is 3087097284163. The reversal of 3087097284096 is 6904827907803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3087097284091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185883025 + ... + 185899631.

It is an arithmetic number, because the mean of its divisors is an integer number (17431723584).

Almost surely, 2^{3087097284096} is an apocalyptic number.

3087097284096 is a gapful number since it is divisible by the number (36) 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 3087097284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578151546880).

3087097284096 is an abundant number, since it is smaller than the sum of its proper divisors (8069205809664).

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

3087097284096 is a wasteful number, since it uses less digits than its factorization.

3087097284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16771 (or 16749 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3087097284096 in words is "three trillion, eighty-seven billion, ninety-seven million, two hundred eighty-four thousand, ninety-six".