3828813120 has 336 divisors, whose sum is σ = 15125273280. Its totient is φ = 879206400.

The previous prime is 3828813119. The next prime is 3828813127. The reversal of 3828813120 is 213188283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828813127) 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 47 ways as a sum of consecutive naturals, for example, 598740 + ... + 605100.

Almost surely, 2^3828813120 is an apocalyptic number.

3828813120 is a gapful number since it is divisible by the number (30) 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 3828813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562636640).

3828813120 is an abundant number, since it is smaller than the sum of its proper divisors (11296460160).

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

3828813120 is a wasteful number, since it uses less digits than its factorization.

3828813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3828813120 is about 61877.4039533011. The cubic root of 3828813120 is about 1564.4249122930.

The spelling of 3828813120 in words is "three billion, eight hundred twenty-eight million, eight hundred thirteen thousand, one hundred twenty".