3405630160 has 40 divisors (see below), whose sum is σ = 7988182920. Its totient is φ = 1350193152.

The previous prime is 3405630157. The next prime is 3405630161. The reversal of 3405630160 is 610365043.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 3404022336 = 1268^2 + 58344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405630161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179325 + ... + 197404.

It is an arithmetic number, because the mean of its divisors is an integer number (199704573).

Almost surely, 2^3405630160 is an apocalyptic number.

It is an amenable number.

3405630160 is an abundant number, since it is smaller than the sum of its proper divisors (4582552760).

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

3405630160 is a wasteful number, since it uses less digits than its factorization.

3405630160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376855 (or 376849 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 3405630160 is about 58357.7772023575. Note that the first 3 decimals coincide. The cubic root of 3405630160 is about 1504.5241425193.

The spelling of 3405630160 in words is "three billion, four hundred five million, six hundred thirty thousand, one hundred sixty".