3305379168 has 288 divisors, whose sum is σ = 11970504000. Its totient is φ = 841494528.

The previous prime is 3305379167. The next prime is 3305379179. The reversal of 3305379168 is 8619735033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305379163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757858 + ... + 762206.

It is an arithmetic number, because the mean of its divisors is an integer number (41564250).

Almost surely, 2^3305379168 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 3305379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985252000).

3305379168 is an abundant number, since it is smaller than the sum of its proper divisors (8665124832).

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

3305379168 is a wasteful number, since it uses less digits than its factorization.

3305379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3305379168 is about 57492.4270491340. The cubic root of 3305379168 is about 1489.6140567604.

The spelling of 3305379168 in words is "three billion, three hundred five million, three hundred seventy-nine thousand, one hundred sixty-eight".