3428161221888 has 720 divisors, whose sum is σ = 11723267411856. Its totient is φ = 987046871040.

The previous prime is 3428161221887. The next prime is 3428161221997. The reversal of 3428161221888 is 8881221618243.

3428161221888 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 1 + 612 + 2 + 18 + 8 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 231045571584 + 3197115650304 = 480672^2 + 1788048^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428161221887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 829458670 + ... + 829462802.

Almost surely, 2^{3428161221888} 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 3428161221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861633705928).

3428161221888 is an abundant number, since it is smaller than the sum of its proper divisors (8295106189968).

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

3428161221888 is a wasteful number, since it uses less digits than its factorization.

3428161221888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4349 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 3428161221888 in words is "three trillion, four hundred twenty-eight billion, one hundred sixty-one million, two hundred twenty-one thousand, eight hundred eighty-eight".