3309223680 has 288 divisors, whose sum is σ = 13421721600. Its totient is φ = 756338688.

The previous prime is 3309223679. The next prime is 3309223703. The reversal of 3309223680 is 863229033.

3309223680 is a `hidden beast` number, since 330 + 92 + 236 + 8 + 0 = 666.

3309223680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3309223680² = 21901922728545484800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 235081 + ... + 248759.

It is an arithmetic number, because the mean of its divisors is an integer number (46603200).

Almost surely, 2^3309223680 is an apocalyptic number.

3309223680 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 3309223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).

3309223680 is an abundant number, since it is smaller than the sum of its proper divisors (10112497920).

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

3309223680 is a wasteful number, since it uses less digits than its factorization.

3309223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3309223680 is about 57525.8522753031. The cubic root of 3309223680 is about 1490.1913601951.

The spelling of 3309223680 in words is "three billion, three hundred nine million, two hundred twenty-three thousand, six hundred eighty".