3428199313824 has 96 divisors (see below), whose sum is σ = 9065010144960. Its totient is φ = 1134356078592.

The previous prime is 3428199313801. The next prime is 3428199313829. The reversal of 3428199313824 is 4283139918243.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3428199313829) 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 15 ways as a sum of consecutive naturals, for example, 136803504 + ... + 136828560.

It is an arithmetic number, because the mean of its divisors is an integer number (94427189010).

Almost surely, 2^{3428199313824} 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 3428199313824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532505072480).

3428199313824 is an abundant number, since it is smaller than the sum of its proper divisors (5636810831136).

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

3428199313824 is a wasteful number, since it uses less digits than its factorization.

3428199313824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35462 (or 35454 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 3428199313824 in words is "three trillion, four hundred twenty-eight billion, one hundred ninety-nine million, three hundred thirteen thousand, eight hundred twenty-four".