3084125721600 has 1056 divisors, whose sum is σ = 13377750912000. Its totient is φ = 607105843200.

The previous prime is 3084125721583. The next prime is 3084125721623. The reversal of 3084125721600 is 61275214803.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 112344676 + ... + 112372124.

Almost surely, 2^{3084125721600} is an apocalyptic number.

3084125721600 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 3084125721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688875456000).

3084125721600 is an abundant number, since it is smaller than the sum of its proper divisors (10293625190400).

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

3084125721600 is a wasteful number, since it uses less digits than its factorization.

3084125721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27519 (or 27496 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 3084125721600 in words is "three trillion, eighty-four billion, one hundred twenty-five million, seven hundred twenty-one thousand, six hundred".