3085976356320 has 768 divisors, whose sum is σ = 12135218135040. Its totient is φ = 649875456000.

The previous prime is 3085976356291. The next prime is 3085976356399. The reversal of 3085976356320 is 236536795803.

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 127 ways as a sum of consecutive naturals, for example, 337223745 + ... + 337232895.

It is an arithmetic number, because the mean of its divisors is an integer number (15801065280).

Almost surely, 2^{3085976356320} is an apocalyptic number.

3085976356320 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 3085976356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067609067520).

3085976356320 is an abundant number, since it is smaller than the sum of its proper divisors (9049241778720).

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

3085976356320 is a wasteful number, since it uses less digits than its factorization.

3085976356320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 3085976356320 in words is "three trillion, eighty-five billion, nine hundred seventy-six million, three hundred fifty-six thousand, three hundred twenty".