3301380960 has 288 divisors, whose sum is σ = 11404755936. Its totient is φ = 799948800.

The previous prime is 3301380919. The next prime is 3301380983. The reversal of 3301380960 is 690831033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7841550 + ... + 7841970.

It is an arithmetic number, because the mean of its divisors is an integer number (39599847).

Almost surely, 2^3301380960 is an apocalyptic number.

3301380960 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 3301380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702377968).

3301380960 is an abundant number, since it is smaller than the sum of its proper divisors (8103374976).

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

3301380960 is a wasteful number, since it uses less digits than its factorization.

3301380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3301380960 is about 57457.6449221511. The cubic root of 3301380960 is about 1489.0131988318.

The spelling of 3301380960 in words is "three billion, three hundred one million, three hundred eighty thousand, nine hundred sixty".