3408211728 has 100 divisors (see below), whose sum is σ = 9888011100. Its totient is φ = 1133346816.

The previous prime is 3408211711. The next prime is 3408211739. The reversal of 3408211728 is 8271128043.

It can be written as a sum of positive squares in 2 ways, for example, as 2751212304 + 656999424 = 52452^2 + 25632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3408211692 and 3408211701.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578976 + ... + 584832.

It is an arithmetic number, because the mean of its divisors is an integer number (98880111).

Almost surely, 2^3408211728 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 3408211728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944005550).

3408211728 is an abundant number, since it is smaller than the sum of its proper divisors (6479799372).

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

3408211728 is a wasteful number, since it uses less digits than its factorization.

3408211728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3408211728 is about 58379.8914695805. The cubic root of 3408211728 is about 1504.9042043786.

The spelling of 3408211728 in words is "three billion, four hundred eight million, two hundred eleven thousand, seven hundred twenty-eight".