3405005568 has 108 divisors (see below), whose sum is σ = 10046076040. Its totient is φ = 1108574208.

The previous prime is 3405005563. The next prime is 3405005651. The reversal of 3405005568 is 8655005043.

3405005568 is a `hidden beast` number, since 3 + 40 + 50 + 0 + 5 + 568 = 666.

It is a super-2 number, since 2×3405005568² = 23188125836222005248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3405005563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81888 + ... + 116256.

Almost surely, 2^3405005568 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 3405005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023038020).

3405005568 is an abundant number, since it is smaller than the sum of its proper divisors (6641070472).

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

3405005568 is a wasteful number, since it uses less digits than its factorization.

3405005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34434 (or 34417 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3405005568 is about 58352.4255536991. The cubic root of 3405005568 is about 1504.4321604042.

The spelling of 3405005568 in words is "three billion, four hundred five million, five thousand, five hundred sixty-eight".