3405205416 has 32 divisors (see below), whose sum is σ = 8787628800. Its totient is φ = 1098453120.

The previous prime is 3405205409. The next prime is 3405205439. The reversal of 3405205416 is 6145025043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287701 + ... + 2289188.

It is an arithmetic number, because the mean of its divisors is an integer number (274613400).

Almost surely, 2^3405205416 is an apocalyptic number.

It is an amenable number.

3405205416 is an abundant number, since it is smaller than the sum of its proper divisors (5382423384).

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

3405205416 is a wasteful number, since it uses less digits than its factorization.

3405205416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576929 (or 4576925 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3405205416 is about 58354.1379509628. The cubic root of 3405205416 is about 1504.4615927473.

The spelling of 3405205416 in words is "three billion, four hundred five million, two hundred five thousand, four hundred sixteen".