3986953850880 has 3120 divisors, whose sum is σ = 19589174123904. Its totient is φ = 764730408960.

The previous prime is 3986953850879. The next prime is 3986953850909. The reversal of 3986953850880 is 880583596893.

3986953850880 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 9 + 5 + 38 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×3986953850880² (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 = 3986953850799 and 3986953850808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 306688757754 + ... + 306688757766.

Almost surely, 2^{3986953850880} is an apocalyptic number.

3986953850880 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 3986953850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9794587061952).

3986953850880 is an abundant number, since it is smaller than the sum of its proper divisors (15602220273024).

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

3986953850880 is an frugal number, since it uses more digits than its factorization.

3986953850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 3986953850880 in words is "three trillion, nine hundred eighty-six billion, nine hundred fifty-three million, eight hundred fifty thousand, eight hundred eighty".