3384561906 has 144 divisors (see below), whose sum is σ = 8380532160. Its totient is φ = 985723200.

The previous prime is 3384561889. The next prime is 3384561907. The reversal of 3384561906 is 6091654833.

3384561906 is a `hidden beast` number, since 3 + 3 + 8 + 456 + 190 + 6 = 666.

3384561906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384561906² = 22910518591092705672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384561907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6649180 + ... + 6649688.

It is an arithmetic number, because the mean of its divisors is an integer number (58198140).

Almost surely, 2^3384561906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384561906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190266080).

3384561906 is an abundant number, since it is smaller than the sum of its proper divisors (4995970254).

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

3384561906 is a wasteful number, since it uses less digits than its factorization.

3384561906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3384561906 is about 58176.9877700797. The cubic root of 3384561906 is about 1501.4152429716.

The spelling of 3384561906 in words is "three billion, three hundred eighty-four million, five hundred sixty-one thousand, nine hundred six".