3681128448 has 156 divisors (see below), whose sum is σ = 10813987548. Its totient is φ = 1206190080.

The previous prime is 3681128447. The next prime is 3681128453. The reversal of 3681128448 is 8448211863.

3681128448 is a `hidden beast` number, since 3 + 6 + 81 + 128 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 3565522944 = 10752^2 + 59712^2 .

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 (3681128447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2247886 + ... + 2249522.

It is an arithmetic number, because the mean of its divisors is an integer number (69320433).

Almost surely, 2^3681128448 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 3681128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406993774).

3681128448 is an abundant number, since it is smaller than the sum of its proper divisors (7132859100).

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

3681128448 is a wasteful number, since it uses less digits than its factorization.

3681128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1703 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3681128448 is about 60672.3037967078. The cubic root of 3681128448 is about 1544.0463175274.

The spelling of 3681128448 in words is "three billion, six hundred eighty-one million, one hundred twenty-eight thousand, four hundred forty-eight".