3827842816 has 72 divisors (see below), whose sum is σ = 8812828640. Its totient is φ = 1625370624.

The previous prime is 3827842793. The next prime is 3827842817. The reversal of 3827842816 is 6182487283.

It is a self number, because there is not a number n which added to its sum of digits gives 3827842816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827842817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185530 + ... + 205126.

Almost surely, 2^3827842816 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 3827842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406414320).

3827842816 is an abundant number, since it is smaller than the sum of its proper divisors (4984985824).

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

3827842816 is a wasteful number, since it uses less digits than its factorization.

3827842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729 (or 19715 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 3827842816 is about 61869.5629207125. The cubic root of 3827842816 is about 1564.2927480992.

The spelling of 3827842816 in words is "three billion, eight hundred twenty-seven million, eight hundred forty-two thousand, eight hundred sixteen".