3306512880 has 320 divisors, whose sum is σ = 12492057600. Its totient is φ = 797230080.

The previous prime is 3306512831. The next prime is 3306512893. The reversal of 3306512880 is 882156033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7531701 + ... + 7532139.

It is an arithmetic number, because the mean of its divisors is an integer number (39037680).

Almost surely, 2^3306512880 is an apocalyptic number.

3306512880 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 3306512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246028800).

3306512880 is an abundant number, since it is smaller than the sum of its proper divisors (9185544720).

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

3306512880 is a wasteful number, since it uses less digits than its factorization.

3306512880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3306512880 is about 57502.2858676070. The cubic root of 3306512880 is about 1489.7843448678.

The spelling of 3306512880 in words is "three billion, three hundred six million, five hundred twelve thousand, eight hundred eighty".