3085722712800 has 1152 divisors, whose sum is σ = 13767138846720. Its totient is φ = 649551052800.

The previous prime is 3085722712747. The next prime is 3085722712837. The reversal of 3085722712800 is 82172275803.

3085722712800 is a `hidden beast` number, since 3 + 0 + 8 + 572 + 2 + 71 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 988695240 + ... + 988698360.

It is an arithmetic number, because the mean of its divisors is an integer number (11950641360).

Almost surely, 2^{3085722712800} is an apocalyptic number.

3085722712800 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 3085722712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883569423360).

3085722712800 is an abundant number, since it is smaller than the sum of its proper divisors (10681416133920).

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

3085722712800 is a wasteful number, since it uses less digits than its factorization.

3085722712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 3085722712800 in words is "three trillion, eighty-five billion, seven hundred twenty-two million, seven hundred twelve thousand, eight hundred".