3968983825920 has 1600 divisors, whose sum is σ = 15284225746944. Its totient is φ = 982667427840.

The previous prime is 3968983825909. The next prime is 3968983825927. The reversal of 3968983825920 is 295283898693.

3968983825920 is a `hidden beast` number, since 3 + 96 + 8 + 98 + 382 + 59 + 20 = 666.

It is a super-2 number, since 2×3968983825920² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968983825927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22942102954 + ... + 22942103126.

Almost surely, 2^{3968983825920} is an apocalyptic number.

3968983825920 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 3968983825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642112873472).

3968983825920 is an abundant number, since it is smaller than the sum of its proper divisors (11315241921024).

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

3968983825920 is a wasteful number, since it uses less digits than its factorization.

3968983825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 3968983825920 in words is "three trillion, nine hundred sixty-eight billion, nine hundred eighty-three million, eight hundred twenty-five thousand, nine hundred twenty".