3789009516906 has 48 divisors (see below), whose sum is σ = 8568427500360. Its totient is φ = 1208949181440.

The previous prime is 3789009516889. The next prime is 3789009516911. The reversal of 3789009516906 is 6096159009873.

3789009516906 is a `hidden beast` number, since 37 + 89 + 0 + 0 + 9 + 516 + 9 + 0 + 6 = 666.

3789009516906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2601094809681 + 1187914707225 = 1612791^2 + 1089915^2 .

It is a super-3 number, since 3×3789009516906³ (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48396351 + ... + 48474578.

Almost surely, 2^{3789009516906} is an apocalyptic number.

3789009516906 is an abundant number, since it is smaller than the sum of its proper divisors (4779417983454).

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

3789009516906 is a wasteful number, since it uses less digits than its factorization.

3789009516906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96871031 (or 96871028 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 3789009516906 in words is "three trillion, seven hundred eighty-nine billion, nine million, five hundred sixteen thousand, nine hundred six".