3888805720320 has 432 divisors, whose sum is σ = 14235064683840. Its totient is φ = 977437310976.

The previous prime is 3888805720313. The next prime is 3888805720357. The reversal of 3888805720320 is 230275088883.

It is a happy number.

3888805720320 is a `hidden beast` number, since 38 + 8 + 8 + 8 + 0 + 572 + 0 + 32 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 43074267 + ... + 43164453.

It is an arithmetic number, because the mean of its divisors is an integer number (32951538620).

Almost surely, 2^{3888805720320} is an apocalyptic number.

3888805720320 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 3888805720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117532341920).

3888805720320 is an abundant number, since it is smaller than the sum of its proper divisors (10346258963520).

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

3888805720320 is a wasteful number, since it uses less digits than its factorization.

3888805720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90430 (or 90413 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 3888805720320 in words is "three trillion, eight hundred eighty-eight billion, eight hundred five million, seven hundred twenty thousand, three hundred twenty".