3871377205920 has 864 divisors, whose sum is σ = 16162201351296. Its totient is φ = 872392550400.

The previous prime is 3871377205907. The next prime is 3871377205973. The reversal of 3871377205920 is 295027731783.

3871377205920 is a `hidden beast` number, since 38 + 7 + 13 + 7 + 7 + 2 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3871377205920² (a number of 26 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135249210 + ... + 135277830.

It is an arithmetic number, because the mean of its divisors is an integer number (18706251564).

Almost surely, 2^{3871377205920} is an apocalyptic number.

3871377205920 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 3871377205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081100675648).

3871377205920 is an abundant number, since it is smaller than the sum of its proper divisors (12290824145376).

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

3871377205920 is a wasteful number, since it uses less digits than its factorization.

3871377205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28736 (or 28709 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 3871377205920 in words is "three trillion, eight hundred seventy-one billion, three hundred seventy-seven million, two hundred five thousand, nine hundred twenty".