3430884393728 has 72 divisors (see below), whose sum is σ = 7479469840080. Its totient is φ = 1557713571840.

The previous prime is 3430884393707. The next prime is 3430884393773. The reversal of 3430884393728 is 8273934880343.

It is a super-2 number, since 2×3430884393728² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775018 + ... + 3164246.

Almost surely, 2^{3430884393728} 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 3430884393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739734920040).

3430884393728 is an abundant number, since it is smaller than the sum of its proper divisors (4048585446352).

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

3430884393728 is a wasteful number, since it uses less digits than its factorization.

3430884393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390133 (or 1390119 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 62.

The spelling of 3430884393728 in words is "three trillion, four hundred thirty billion, eight hundred eighty-four million, three hundred ninety-three thousand, seven hundred twenty-eight".