3865097481984 has 360 divisors, whose sum is σ = 12195597883392. Its totient is φ = 1214982236160.

The previous prime is 3865097481929. The next prime is 3865097482027. The reversal of 3865097481984 is 4891847905683.

3865097481984 is a `hidden beast` number, since 3 + 8 + 6 + 50 + 9 + 7 + 481 + 98 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 33804817 + ... + 33918959.

Almost surely, 2^{3865097481984} 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 3865097481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097798941696).

3865097481984 is an abundant number, since it is smaller than the sum of its proper divisors (8330500401408).

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

3865097481984 is a wasteful number, since it uses less digits than its factorization.

3865097481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114265 (or 114242 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 3865097481984 in words is "three trillion, eight hundred sixty-five billion, ninety-seven million, four hundred eighty-one thousand, nine hundred eighty-four".