3832476648 has 256 divisors, whose sum is σ = 13061744640. Its totient is φ = 904780800.

The previous prime is 3832476631. The next prime is 3832476671. The reversal of 3832476648 is 8466742383.

It is a Cunningham number, because it is equal to 61907²-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3832476648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608418 + ... + 1610798.

It is an arithmetic number, because the mean of its divisors is an integer number (51022440).

Almost surely, 2^3832476648 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 3832476648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530872320).

3832476648 is an abundant number, since it is smaller than the sum of its proper divisors (9229267992).

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

3832476648 is a wasteful number, since it uses less digits than its factorization.

3832476648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2484 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 3832476648 is about 61906.9999919234. Note that the first 5 decimals coincide. The cubic root of 3832476648 is about 1564.9237167784.

The spelling of 3832476648 in words is "three billion, eight hundred thirty-two million, four hundred seventy-six thousand, six hundred forty-eight".