3308467680 has 240 divisors, whose sum is σ = 13344518880. Its totient is φ = 756200448.

The previous prime is 3308467661. The next prime is 3308467703. The reversal of 3308467680 is 867648033.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72486 + ... + 108954.

It is an arithmetic number, because the mean of its divisors is an integer number (55602162).

Almost surely, 2^3308467680 is an apocalyptic number.

3308467680 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 3308467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672259440).

3308467680 is an abundant number, since it is smaller than the sum of its proper divisors (10036051200).

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

3308467680 is a wasteful number, since it uses less digits than its factorization.

3308467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36503 (or 36486 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3308467680 is about 57519.2809412635. The cubic root of 3308467680 is about 1490.0778723020.

The spelling of 3308467680 in words is "three billion, three hundred eight million, four hundred sixty-seven thousand, six hundred eighty".