3965788915920 has 640 divisors, whose sum is σ = 15389585003520. Its totient is φ = 931361587200.

The previous prime is 3965788915909. The next prime is 3965788915937. The reversal of 3965788915920 is 295198875693.

3965788915920 is a `hidden beast` number, since 39 + 6 + 578 + 8 + 9 + 15 + 9 + 2 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 258974184 + ... + 258989496.

It is an arithmetic number, because the mean of its divisors is an integer number (24046226568).

Almost surely, 2^{3965788915920} is an apocalyptic number.

3965788915920 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 3965788915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694792501760).

3965788915920 is an abundant number, since it is smaller than the sum of its proper divisors (11423796087600).

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

3965788915920 is a wasteful number, since it uses less digits than its factorization.

3965788915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15772 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 3965788915920 in words is "three trillion, nine hundred sixty-five billion, seven hundred eighty-eight million, nine hundred fifteen thousand, nine hundred twenty".