3860575879680 has 1280 divisors, whose sum is σ = 15287371545600. Its totient is φ = 917294284800.

The previous prime is 3860575879631. The next prime is 3860575879681. The reversal of 3860575879680 is 869785750683.

3860575879680 is a `hidden beast` number, since 3 + 8 + 605 + 7 + 5 + 8 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3860575879680² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3860575879599 and 3860575879608.

It is not an unprimeable number, because it can be changed into a prime (3860575879681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5020254336 + ... + 5020255104.

It is an arithmetic number, because the mean of its divisors is an integer number (11943259020).

Almost surely, 2^{3860575879680} is an apocalyptic number.

3860575879680 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 3860575879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643685772800).

3860575879680 is an abundant number, since it is smaller than the sum of its proper divisors (11426795665920).

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

3860575879680 is a wasteful number, since it uses less digits than its factorization.

3860575879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 3860575879680 in words is "three trillion, eight hundred sixty billion, five hundred seventy-five million, eight hundred seventy-nine thousand, six hundred eighty".