3871568676960 has 480 divisors, whose sum is σ = 14115908911104. Its totient is φ = 998282880000.

The previous prime is 3871568676947. The next prime is 3871568676979. The reversal of 3871568676960 is 696768651783.

3871568676960 is a `hidden beast` number, since 387 + 1 + 56 + 86 + 7 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3871568676960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 590985685 + ... + 590992235.

Almost surely, 2^{3871568676960} is an apocalyptic number.

3871568676960 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 3871568676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057954455552).

3871568676960 is an abundant number, since it is smaller than the sum of its proper divisors (10244340234144).

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

3871568676960 is a wasteful number, since it uses less digits than its factorization.

3871568676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 3871568676960 in words is "three trillion, eight hundred seventy-one billion, five hundred sixty-eight million, six hundred seventy-six thousand, nine hundred sixty".