3865854876408 has 576 divisors, whose sum is σ = 12967667032320. Its totient is φ = 1018775347200.

The previous prime is 3865854876347. The next prime is 3865854876419. The reversal of 3865854876408 is 8046784585683.

3865854876408 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 8 + 548 + 76 + 4 + 0 + 8 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1583716468 + ... + 1583718908.

It is an arithmetic number, because the mean of its divisors is an integer number (22513310820).

Almost surely, 2^{3865854876408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865854876408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483833516160).

3865854876408 is an abundant number, since it is smaller than the sum of its proper divisors (9101812155912).

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

3865854876408 is a wasteful number, since it uses less digits than its factorization.

3865854876408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 3865854876408 in words is "three trillion, eight hundred sixty-five billion, eight hundred fifty-four million, eight hundred seventy-six thousand, four hundred eight".