3013601760 has 480 divisors, whose sum is σ = 11843580672. Its totient is φ = 716636160.

The previous prime is 3013601753. The next prime is 3013601771. The reversal of 3013601760 is 671063103.

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 (27).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222592 + ... + 5223168.

Almost surely, 2^3013601760 is an apocalyptic number.

3013601760 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 3013601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921790336).

3013601760 is an abundant number, since it is smaller than the sum of its proper divisors (8829978912).

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

3013601760 is a wasteful number, since it uses less digits than its factorization.

3013601760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3013601760 is about 54896.2818413051. The cubic root of 3013601760 is about 1444.4259658035.

Adding to 3013601760 its reverse (671063103), we get a palindrome (3684664863).

The spelling of 3013601760 in words is "three billion, thirteen million, six hundred one thousand, seven hundred sixty".