3871531680 has 96 divisors (see below), whose sum is σ = 12342383424. Its totient is φ = 1019959296.

The previous prime is 3871531661. The next prime is 3871531681. The reversal of 3871531680 is 861351783.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3871531681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8749 + ... + 88428.

It is an arithmetic number, because the mean of its divisors is an integer number (128566494).

Almost surely, 2^3871531680 is an apocalyptic number.

3871531680 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 3871531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171191712).

3871531680 is an abundant number, since it is smaller than the sum of its proper divisors (8470851744).

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

3871531680 is a wasteful number, since it uses less digits than its factorization.

3871531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97278 (or 97270 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 3871531680 is about 62221.6335368978. The cubic root of 3871531680 is about 1570.2215706869.

The spelling of 3871531680 in words is "three billion, eight hundred seventy-one million, five hundred thirty-one thousand, six hundred eighty".