3383841160 has 128 divisors (see below), whose sum is σ = 9370080000. Its totient is φ = 1073332224.

The previous prime is 3383841137. The next prime is 3383841163. The reversal of 3383841160 is 611483833.

It is a super-4 number, since 4×3383841160⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3383841163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 274816 + ... + 286864.

It is an arithmetic number, because the mean of its divisors is an integer number (73203750).

Almost surely, 2^3383841160 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 3383841160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685040000).

3383841160 is an abundant number, since it is smaller than the sum of its proper divisors (5986238840).

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

3383841160 is a wasteful number, since it uses less digits than its factorization.

3383841160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 3383841160 is about 58170.7930150518. The cubic root of 3383841160 is about 1501.3086594231.

The spelling of 3383841160 in words is "three billion, three hundred eighty-three million, eight hundred forty-one thousand, one hundred sixty".