3301313160 has 128 divisors (see below), whose sum is σ = 10200136320. Its totient is φ = 854157312.

The previous prime is 3301313159. The next prime is 3301313167. The reversal of 3301313160 is 613131033.

It is not an unprimeable number, because it can be changed into a prime (3301313167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028267 + ... + 2029893.

It is an arithmetic number, because the mean of its divisors is an integer number (79688565).

Almost surely, 2^3301313160 is an apocalyptic number.

3301313160 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 3301313160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100068160).

3301313160 is an abundant number, since it is smaller than the sum of its proper divisors (6898823160).

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

3301313160 is a wasteful number, since it uses less digits than its factorization.

3301313160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3301313160 is about 57457.0549193047. The cubic root of 3301313160 is about 1489.0030055433.

Adding to 3301313160 its reverse (613131033), we get a palindrome (3914444193).

The spelling of 3301313160 in words is "three billion, three hundred one million, three hundred thirteen thousand, one hundred sixty".