3820338816 has 384 divisors, whose sum is σ = 12734300160. Its totient is φ = 992839680.

The previous prime is 3820338803. The next prime is 3820338817. The reversal of 3820338816 is 6188330283.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3820338817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30081345 + ... + 30081471.

It is an arithmetic number, because the mean of its divisors is an integer number (33162240).

Almost surely, 2^3820338816 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 3820338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367150080).

3820338816 is an abundant number, since it is smaller than the sum of its proper divisors (8913961344).

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

3820338816 is a wasteful number, since it uses less digits than its factorization.

3820338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3820338816 is about 61808.8894577471. The cubic root of 3820338816 is about 1563.2698802776.

The spelling of 3820338816 in words is "three billion, eight hundred twenty million, three hundred thirty-eight thousand, eight hundred sixteen".