3420611328 has 72 divisors (see below), whose sum is σ = 9142084336. Its totient is φ = 1135411200.

The previous prime is 3420611323. The next prime is 3420611351. The reversal of 3420611328 is 8231160243.

It is a junction number, because it is equal to n+sod(n) for n = 3420611295 and 3420611304.

It is not an unprimeable number, because it can be changed into a prime (3420611321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175848 + ... + 194328.

Almost surely, 2^3420611328 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 3420611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571042168).

3420611328 is an abundant number, since it is smaller than the sum of its proper divisors (5721473008).

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

3420611328 is a wasteful number, since it uses less digits than its factorization.

3420611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18741 (or 18727 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3420611328 is about 58485.9925794202. The cubic root of 3420611328 is about 1506.7270201457.

The spelling of 3420611328 in words is "three billion, four hundred twenty million, six hundred eleven thousand, three hundred twenty-eight".