3309841920 has 640 divisors, whose sum is σ = 13717693440. Its totient is φ = 660602880.

The previous prime is 3309841897. The next prime is 3309841937. The reversal of 3309841920 is 291489033.

It is a tau number, because it is divible by the number of its divisors (640).

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, 17149344 + ... + 17149536.

It is an arithmetic number, because the mean of its divisors is an integer number (21433896).

Almost surely, 2^3309841920 is an apocalyptic number.

3309841920 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 3309841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858846720).

3309841920 is an abundant number, since it is smaller than the sum of its proper divisors (10407851520).

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

3309841920 is a wasteful number, since it uses less digits than its factorization.

3309841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3309841920 is about 57531.2256083598. The cubic root of 3309841920 is about 1490.2841552258.

The spelling of 3309841920 in words is "three billion, three hundred nine million, eight hundred forty-one thousand, nine hundred twenty".