3105003330240 has 672 divisors, whose sum is σ = 12063658229760. Its totient is φ = 662654877696.

The previous prime is 3105003330227. The next prime is 3105003330259. The reversal of 3105003330240 is 420333005013.

It is a happy number.

3105003330240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3105003330240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246637866 + ... + 246650454.

Almost surely, 2^{3105003330240} is an apocalyptic number.

3105003330240 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 3105003330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031829114880).

3105003330240 is an abundant number, since it is smaller than the sum of its proper divisors (8958654899520).

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

3105003330240 is a wasteful number, since it uses less digits than its factorization.

3105003330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 3105003330240 its reverse (420333005013), we get a palindrome (3525336335253).

The spelling of 3105003330240 in words is "three trillion, one hundred five billion, three million, three hundred thirty thousand, two hundred forty".