3405945680 has 20 divisors (see below), whose sum is σ = 7918823892. Its totient is φ = 1362378240.

The previous prime is 3405945667. The next prime is 3405945689. The reversal of 3405945680 is 865495043.

It can be written as a sum of positive squares in 2 ways, for example, as 421727296 + 2984218384 = 20536^2 + 54628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3405945680² = 23200931950221324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405945689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21287081 + ... + 21287240.

Almost surely, 2^3405945680 is an apocalyptic number.

It is an amenable number.

3405945680 is an abundant number, since it is smaller than the sum of its proper divisors (4512878212).

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

3405945680 is a wasteful number, since it uses less digits than its factorization.

3405945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42574334 (or 42574328 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 3405945680 is about 58360.4804640949. The cubic root of 3405945680 is about 1504.5706040919.

The spelling of 3405945680 in words is "three billion, four hundred five million, nine hundred forty-five thousand, six hundred eighty".