3085644015360 has 504 divisors, whose sum is σ = 11215347376464. Its totient is φ = 812904284160.

The previous prime is 3085644015331. The next prime is 3085644015383. The reversal of 3085644015360 is 635104465803.

3085644015360 is a `hidden beast` number, since 3 + 0 + 8 + 56 + 440 + 153 + 6 + 0 = 666.

3085644015360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 77429040 + ... + 77468880.

It is an arithmetic number, because the mean of its divisors is an integer number (22252673366).

Almost surely, 2^{3085644015360} is an apocalyptic number.

3085644015360 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 3085644015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607673688232).

3085644015360 is an abundant number, since it is smaller than the sum of its proper divisors (8129703361104).

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

3085644015360 is an frugal number, since it uses more digits than its factorization.

3085644015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39963 (or 39934 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3085644015360 in words is "three trillion, eighty-five billion, six hundred forty-four million, fifteen thousand, three hundred sixty".