3421840128 has 216 divisors, whose sum is σ = 10737377280. Its totient is φ = 964454400.

The previous prime is 3421840099. The next prime is 3421840141. The reversal of 3421840128 is 8210481243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2972353 + ... + 2973503.

It is an arithmetic number, because the mean of its divisors is an integer number (49710080).

Almost surely, 2^3421840128 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 3421840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368688640).

3421840128 is an abundant number, since it is smaller than the sum of its proper divisors (7315537152).

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

3421840128 is a wasteful number, since it uses less digits than its factorization.

3421840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3421840128 is about 58496.4967156154. The cubic root of 3421840128 is about 1506.9074210863.

The spelling of 3421840128 in words is "three billion, four hundred twenty-one million, eight hundred forty thousand, one hundred twenty-eight".