3083304960 has 512 divisors, whose sum is σ = 11890670400. Its totient is φ = 754974720.

The previous prime is 3083304929. The next prime is 3083304967. The reversal of 3083304960 is 694033803.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083304967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75202540 + ... + 75202580.

Almost surely, 2^3083304960 is an apocalyptic number.

3083304960 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 3083304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945335200).

3083304960 is an abundant number, since it is smaller than the sum of its proper divisors (8807365440).

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

3083304960 is an equidigital number, since it uses as much as digits as its factorization.

3083304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

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

The square root of 3083304960 is about 55527.5153414953. The cubic root of 3083304960 is about 1455.4774923420.

The spelling of 3083304960 in words is "three billion, eighty-three million, three hundred four thousand, nine hundred sixty".