3839648832 has 392 divisors, whose sum is σ = 12473001216. Its totient is φ = 1167519744.

The previous prime is 3839648821. The next prime is 3839648833. The reversal of 3839648832 is 2388469383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3839648833) 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 55 ways as a sum of consecutive naturals, for example, 37278093 + ... + 37278195.

Almost surely, 2^3839648832 is an apocalyptic number.

3839648832 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 3839648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236500608).

3839648832 is an abundant number, since it is smaller than the sum of its proper divisors (8633352384).

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

3839648832 is a wasteful number, since it uses less digits than its factorization.

3839648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3839648832 is about 61964.8999999193. The cubic root of 3839648832 is about 1565.8993197262.

The spelling of 3839648832 in words is "three billion, eight hundred thirty-nine million, six hundred forty-eight thousand, eight hundred thirty-two".