3888139345920 has 784 divisors, whose sum is σ = 14233613310720. Its totient is φ = 1018801815552.

The previous prime is 3888139345859. The next prime is 3888139345943. The reversal of 3888139345920 is 295439318883.

3888139345920 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 1 + 3 + 9 + 34 + 592 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1761729457 + ... + 1761731663.

Almost surely, 2^{3888139345920} is an apocalyptic number.

3888139345920 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 3888139345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116806655360).

3888139345920 is an abundant number, since it is smaller than the sum of its proper divisors (10345473964800).

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

3888139345920 is an frugal number, since it uses more digits than its factorization.

3888139345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3888139345920 in words is "three trillion, eight hundred eighty-eight billion, one hundred thirty-nine million, three hundred forty-five thousand, nine hundred twenty".