3865107072 has 128 divisors (see below), whose sum is σ = 10910246400. Its totient is φ = 1208908800.

The previous prime is 3865107049. The next prime is 3865107143. The reversal of 3865107072 is 2707015683.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3865107072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778197 + ... + 783147.

It is an arithmetic number, because the mean of its divisors is an integer number (85236300).

Almost surely, 2^3865107072 is an apocalyptic number.

3865107072 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 3865107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455123200).

3865107072 is an abundant number, since it is smaller than the sum of its proper divisors (7045139328).

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

3865107072 is a wasteful number, since it uses less digits than its factorization.

3865107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 3865107072 is about 62169.9852983737. The cubic root of 3865107072 is about 1569.3525224433.

The spelling of 3865107072 in words is "three billion, eight hundred sixty-five million, one hundred seven thousand, seventy-two".