3405349728 has 192 divisors, whose sum is σ = 11020665600. Its totient is φ = 1014266880.

The previous prime is 3405349711. The next prime is 3405349777. The reversal of 3405349728 is 8279435043.

3405349728 is a `hidden beast` number, since 3 + 4 + 0 + 534 + 97 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557700 + ... + 563772.

It is an arithmetic number, because the mean of its divisors is an integer number (57399300).

Almost surely, 2^3405349728 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 3405349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510332800).

3405349728 is an abundant number, since it is smaller than the sum of its proper divisors (7615315872).

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

3405349728 is a wasteful number, since it uses less digits than its factorization.

3405349728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3405349728 is about 58355.3744568570. The cubic root of 3405349728 is about 1504.4828453853.

The spelling of 3405349728 in words is "three billion, four hundred five million, three hundred forty-nine thousand, seven hundred twenty-eight".