3968127250920 has 640 divisors, whose sum is σ = 16210474156800. Its totient is φ = 850396299264.

The previous prime is 3968127250873. The next prime is 3968127250957. The reversal of 3968127250920 is 290527218693.

3968127250920 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 127 + 2 + 509 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41751774 + ... + 41846706.

It is an arithmetic number, because the mean of its divisors is an integer number (25328865870).

Almost surely, 2^{3968127250920} is an apocalyptic number.

3968127250920 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 3968127250920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105237078400).

3968127250920 is an abundant number, since it is smaller than the sum of its proper divisors (12242346905880).

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

3968127250920 is a wasteful number, since it uses less digits than its factorization.

3968127250920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95079 (or 95066 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3968127250920 in words is "three trillion, nine hundred sixty-eight billion, one hundred twenty-seven million, two hundred fifty thousand, nine hundred twenty".