3300048800 has 72 divisors (see below), whose sum is σ = 8146939500. Its totient is φ = 1305159680.

The previous prime is 3300048799. The next prime is 3300048893. The reversal of 3300048800 is 88400033.

3300048800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 300953104 + 2999095696 = 17348^2 + 54764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3300048800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48026 + ... + 94374.

Almost surely, 2^3300048800 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 3300048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073469750).

3300048800 is an abundant number, since it is smaller than the sum of its proper divisors (4846890700).

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

3300048800 is a wasteful number, since it uses less digits than its factorization.

3300048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46458 (or 46445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3300048800 is about 57446.0512132905. The cubic root of 3300048800 is about 1488.8128916763.

Adding to 3300048800 its reverse (88400033), we get a palindrome (3388448833).

The spelling of 3300048800 in words is "three billion, three hundred million, forty-eight thousand, eight hundred".