3201048576 has 168 divisors, whose sum is σ = 10090093104. Its totient is φ = 969768960.

The previous prime is 3201048563. The next prime is 3201048577. The reversal of 3201048576 is 6758401023.

3201048576 is a `hidden beast` number, since 32 + 0 + 10 + 48 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3201048576.

It is not an unprimeable number, because it can be changed into a prime (3201048577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 809035 + ... + 812981.

It is an arithmetic number, because the mean of its divisors is an integer number (60060078).

Almost surely, 2^3201048576 is an apocalyptic number.

3201048576 is a gapful number since it is divisible by the number (36) 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 3201048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045046552).

3201048576 is an abundant number, since it is smaller than the sum of its proper divisors (6889044528).

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

3201048576 is a wasteful number, since it uses less digits than its factorization.

3201048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3201048576 is about 56577.8099258004. The cubic root of 3201048576 is about 1473.7735396707.

Adding to 3201048576 its reverse (6758401023), we get a palindrome (9959449599).

The spelling of 3201048576 in words is "three billion, two hundred one million, forty-eight thousand, five hundred seventy-six".