3827234052 has 72 divisors (see below), whose sum is σ = 10252209240. Its totient is φ = 1201697280.

The previous prime is 3827234041. The next prime is 3827234069. The reversal of 3827234052 is 2504327283.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 3792589056 = 5886^2 + 61584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3827233998 and 3827234016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1903 + ... + 87510.

It is an arithmetic number, because the mean of its divisors is an integer number (142391795).

Almost surely, 2^3827234052 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 3827234052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126104620).

3827234052 is an abundant number, since it is smaller than the sum of its proper divisors (6424975188).

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

3827234052 is a wasteful number, since it uses less digits than its factorization.

3827234052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89493 (or 89488 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3827234052 is about 61864.6429877357. The cubic root of 3827234052 is about 1564.2098175260.

The spelling of 3827234052 in words is "three billion, eight hundred twenty-seven million, two hundred thirty-four thousand, fifty-two".