3871406760 has 128 divisors (see below), whose sum is σ = 12631973760. Its totient is φ = 943488000.

The previous prime is 3871406711. The next prime is 3871406761. The reversal of 3871406760 is 676041783.

3871406760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3871406761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145275 + ... + 169845.

It is an arithmetic number, because the mean of its divisors is an integer number (98687295).

Almost surely, 2^3871406760 is an apocalyptic number.

3871406760 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 3871406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315986880).

3871406760 is an abundant number, since it is smaller than the sum of its proper divisors (8760567000).

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

3871406760 is a wasteful number, since it uses less digits than its factorization.

3871406760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24699 (or 24695 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3871406760 is about 62220.6296978743. The cubic root of 3871406760 is about 1570.2046820922.

The spelling of 3871406760 in words is "three billion, eight hundred seventy-one million, four hundred six thousand, seven hundred sixty".