3306659840 has 224 divisors, whose sum is σ = 8917594560. Its totient is φ = 1166540800.

The previous prime is 3306659803. The next prime is 3306659899. The reversal of 3306659840 is 489566033.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3306659791 and 3306659800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18472871 + ... + 18473049.

It is an arithmetic number, because the mean of its divisors is an integer number (39810690).

Almost surely, 2^3306659840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458797280).

3306659840 is an abundant number, since it is smaller than the sum of its proper divisors (5610934720).

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

3306659840 is a wasteful number, since it uses less digits than its factorization.

3306659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 3306659840 is about 57503.5637156516. The cubic root of 3306659840 is about 1489.8064160015.

The spelling of 3306659840 in words is "three billion, three hundred six million, six hundred fifty-nine thousand, eight hundred forty".