3300042304 has 56 divisors (see below), whose sum is σ = 7065907128. Its totient is φ = 1520148480.

The previous prime is 3300042293. The next prime is 3300042313. The reversal of 3300042304 is 4032400033.

It can be written as a sum of positive squares in 4 ways, for example, as 414203904 + 2885838400 = 20352^2 + 53720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459864 + ... + 466984.

It is an arithmetic number, because the mean of its divisors is an integer number (126176913).

Almost surely, 2^3300042304 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 3300042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532953564).

3300042304 is an abundant number, since it is smaller than the sum of its proper divisors (3765864824).

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

3300042304 is a wasteful number, since it uses less digits than its factorization.

3300042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3300042304 is about 57445.9946732581. The cubic root of 3300042304 is about 1488.8119147883.

Adding to 3300042304 its reverse (4032400033), we get a palindrome (7332442337).

The spelling of 3300042304 in words is "three billion, three hundred million, forty-two thousand, three hundred four".