3409683168 has 48 divisors (see below), whose sum is σ = 8955966096. Its totient is φ = 1135856640.

The previous prime is 3409683119. The next prime is 3409683227. The reversal of 3409683168 is 8613869043.

3409683168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3409683168² = 23251878612285032448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158158 + ... + 178418.

It is an arithmetic number, because the mean of its divisors is an integer number (186582627).

Almost surely, 2^3409683168 is an apocalyptic number.

It is an amenable number.

3409683168 is an abundant number, since it is smaller than the sum of its proper divisors (5546282928).

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

3409683168 is a wasteful number, since it uses less digits than its factorization.

3409683168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22027 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3409683168 is about 58392.4923941426. The cubic root of 3409683168 is about 1505.1207458595.

The spelling of 3409683168 in words is "three billion, four hundred nine million, six hundred eighty-three thousand, one hundred sixty-eight".