3865977827712 has 2304 divisors, whose sum is σ = 16190141760000. Its totient is φ = 874953031680.

The previous prime is 3865977827641. The next prime is 3865977827713. The reversal of 3865977827712 is 2177287795683.

3865977827712 is a `hidden beast` number, since 3 + 8 + 6 + 597 + 7 + 8 + 27 + 7 + 1 + 2 = 666.

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 (3865977827713) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13956598518 + ... + 13956598794.

It is an arithmetic number, because the mean of its divisors is an integer number (7026971250).

Almost surely, 2^{3865977827712} is an apocalyptic number.

3865977827712 is a gapful number since it is divisible by the number (32) 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 3865977827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095070880000).

3865977827712 is an abundant number, since it is smaller than the sum of its proper divisors (12324163932288).

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

3865977827712 is a wasteful number, since it uses less digits than its factorization.

3865977827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 332 counting only the distinct ones).

The product of its digits is 497871360, while the sum is 72.

The spelling of 3865977827712 in words is "three trillion, eight hundred sixty-five billion, nine hundred seventy-seven million, eight hundred twenty-seven thousand, seven hundred twelve".