3018229568640 has 960 divisors, whose sum is σ = 12733004433600. Its totient is φ = 675386449920.

The previous prime is 3018229568603. The next prime is 3018229568663. The reversal of 3018229568640 is 468659228103.

3018229568640 is a `hidden beast` number, since 3 + 0 + 18 + 2 + 2 + 9 + 568 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 96354901 + ... + 96386219.

It is an arithmetic number, because the mean of its divisors is an integer number (13263546285).

Almost surely, 2^{3018229568640} is an apocalyptic number.

3018229568640 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 3018229568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366502216800).

3018229568640 is an abundant number, since it is smaller than the sum of its proper divisors (9714774864960).

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

3018229568640 is a wasteful number, since it uses less digits than its factorization.

3018229568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31387 (or 31353 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3018229568640 in words is "three trillion, eighteen billion, two hundred twenty-nine million, five hundred sixty-eight thousand, six hundred forty".