3865106784 has 384 divisors, whose sum is σ = 13265731584. Its totient is φ = 956160000.

The previous prime is 3865106771. The next prime is 3865106797. The reversal of 3865106784 is 4876015683.

It is an interprime number because it is at equal distance from previous prime (3865106771) and next prime (3865106797).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23144269 + ... + 23144435.

It is an arithmetic number, because the mean of its divisors is an integer number (34546176).

Almost surely, 2^3865106784 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 3865106784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632865792).

3865106784 is an abundant number, since it is smaller than the sum of its proper divisors (9400624800).

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

3865106784 is a wasteful number, since it uses less digits than its factorization.

3865106784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3865106784 is about 62169.9829821434. The cubic root of 3865106784 is about 1569.3524834643.

The spelling of 3865106784 in words is "three billion, eight hundred sixty-five million, one hundred six thousand, seven hundred eighty-four".