3827985936 has 80 divisors (see below), whose sum is σ = 10510755840. Its totient is φ = 1197072000.

The previous prime is 3827985881. The next prime is 3827985937. The reversal of 3827985936 is 6395897283.

It is a self number, because there is not a number n which added to its sum of digits gives 3827985936.

It is not an unprimeable number, because it can be changed into a prime (3827985937) by changing a digit.

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, 73561 + ... + 114311.

It is an arithmetic number, because the mean of its divisors is an integer number (131384448).

Almost surely, 2^3827985936 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 3827985936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255377920).

3827985936 is an abundant number, since it is smaller than the sum of its proper divisors (6682769904).

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

3827985936 is a wasteful number, since it uses less digits than its factorization.

3827985936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40884 (or 40878 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The square root of 3827985936 is about 61870.7195367890. The cubic root of 3827985936 is about 1564.3122437437.

The spelling of 3827985936 in words is "three billion, eight hundred twenty-seven million, nine hundred eighty-five thousand, nine hundred thirty-six".