3828218112 has 252 divisors, whose sum is σ = 11655257964. Its totient is φ = 1254113280.

The previous prime is 3828218101. The next prime is 3828218131. The reversal of 3828218112 is 2118128283.

It can be written as a sum of positive squares in 2 ways, for example, as 2383001856 + 1445216256 = 48816^2 + 38016^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13623412 + ... + 13623692.

Almost surely, 2^3828218112 is an apocalyptic number.

3828218112 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 3828218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827628982).

3828218112 is an abundant number, since it is smaller than the sum of its proper divisors (7827039852).

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

3828218112 is an frugal number, since it uses more digits than its factorization.

3828218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 3828218112 is about 61872.5958078373. The cubic root of 3828218112 is about 1564.3438694622.

The spelling of 3828218112 in words is "three billion, eight hundred twenty-eight million, two hundred eighteen thousand, one hundred twelve".