3305012760 has 576 divisors, whose sum is σ = 13603528800. Its totient is φ = 711535104.

The previous prime is 3305012707. The next prime is 3305012771. The reversal of 3305012760 is 672105033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19104034 + ... + 19104206.

Almost surely, 2^3305012760 is an apocalyptic number.

3305012760 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 3305012760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801764400).

3305012760 is an abundant number, since it is smaller than the sum of its proper divisors (10298516040).

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

3305012760 is a wasteful number, since it uses less digits than its factorization.

3305012760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3305012760 is about 57489.2403846146. The cubic root of 3305012760 is about 1489.5590124776.

Adding to 3305012760 its reverse (672105033), we get a palindrome (3977117793).

The spelling of 3305012760 in words is "three billion, three hundred five million, twelve thousand, seven hundred sixty".