3846128832 has 560 divisors, whose sum is σ = 14539886592. Its totient is φ = 977909760.

The previous prime is 3846128809. The next prime is 3846128837. The reversal of 3846128832 is 2388216483.

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

It is not an unprimeable number, because it can be changed into a prime (3846128837) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14623933 + ... + 14624195.

Almost surely, 2^3846128832 is an apocalyptic number.

3846128832 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 3846128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269943296).

3846128832 is an abundant number, since it is smaller than the sum of its proper divisors (10693757760).

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

3846128832 is a wasteful number, since it uses less digits than its factorization.

3846128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3846128832 is about 62017.1656237207. The cubic root of 3846128832 is about 1566.7797235649.

It can be divided in two parts, 384 and 6128832, that added together give a palindrome (6129216).

The spelling of 3846128832 in words is "three billion, eight hundred forty-six million, one hundred twenty-eight thousand, eight hundred thirty-two".