3086726973120 has 672 divisors, whose sum is σ = 12283566796800. Its totient is φ = 696864522240.

The previous prime is 3086726973101. The next prime is 3086726973137. The reversal of 3086726973120 is 213796276803.

3086726973120 is a `hidden beast` number, since 3 + 0 + 8 + 67 + 269 + 7 + 312 + 0 = 666.

3086726973120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894961156 + ... + 894964604.

Almost surely, 2^{3086726973120} is an apocalyptic number.

3086726973120 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 3086726973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141783398400).

3086726973120 is an abundant number, since it is smaller than the sum of its proper divisors (9196839823680).

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

3086726973120 is a wasteful number, since it uses less digits than its factorization.

3086726973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3086726973120 in words is "three trillion, eighty-six billion, seven hundred twenty-six million, nine hundred seventy-three thousand, one hundred twenty".