3300042240 has 480 divisors, whose sum is σ = 12926628000. Its totient is φ = 770703360.

The previous prime is 3300042217. The next prime is 3300042259. The reversal of 3300042240 is 422400033.

3300042240 = 7719² + 7720² + ... + 7773².

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7349536 + ... + 7349984.

It is an arithmetic number, because the mean of its divisors is an integer number (26930475).

Almost surely, 2^3300042240 is an apocalyptic number.

3300042240 is a gapful number since it is divisible by the number (30) 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 3300042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463314000).

3300042240 is an abundant number, since it is smaller than the sum of its proper divisors (9626585760).

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

3300042240 is a wasteful number, since it uses less digits than its factorization.

3300042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3300042240 is about 57445.9941162132. The cubic root of 3300042240 is about 1488.8119051638.

Adding to 3300042240 its reverse (422400033), we get a palindrome (3722442273).

The spelling of 3300042240 in words is "three billion, three hundred million, forty-two thousand, two hundred forty".