3405947328 has 168 divisors, whose sum is σ = 11193463008. Its totient is φ = 969965568.

The previous prime is 3405947317. The next prime is 3405947357. The reversal of 3405947328 is 8237495043.

3405947328 is a `hidden beast` number, since 34 + 0 + 594 + 7 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3405947328² = 23200954402220679168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422100 + ... + 1424492.

It is an arithmetic number, because the mean of its divisors is an integer number (66627756).

Almost surely, 2^3405947328 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 3405947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596731504).

3405947328 is an abundant number, since it is smaller than the sum of its proper divisors (7787515680).

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

3405947328 is a wasteful number, since it uses less digits than its factorization.

3405947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2758 counting only the distinct ones).

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

The square root of 3405947328 is about 58360.4945832367. The cubic root of 3405947328 is about 1504.5708467589.

The spelling of 3405947328 in words is "three billion, four hundred five million, nine hundred forty-seven thousand, three hundred twenty-eight".