3483306666882 has 192 divisors, whose sum is σ = 8897819673600. Its totient is φ = 964233953280.

The previous prime is 3483306666871. The next prime is 3483306666883. The reversal of 3483306666882 is 2886666033843.

It is a happy number.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3483306666883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1046350594 + ... + 1046353922.

It is an arithmetic number, because the mean of its divisors is an integer number (46342810800).

Almost surely, 2^{3483306666882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483306666882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448909836800).

3483306666882 is an abundant number, since it is smaller than the sum of its proper divisors (5414513006718).

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

3483306666882 is a wasteful number, since it uses less digits than its factorization.

3483306666882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 3483306666882 in words is "three trillion, four hundred eighty-three billion, three hundred six million, six hundred sixty-six thousand, eight hundred eighty-two".