3406589956 has 81 divisors (see below), whose sum is σ = 7642762407. Its totient is φ = 1323740880.

The previous prime is 3406589917. The next prime is 3406589981. The reversal of 3406589956 is 6599856043.

The square root of 3406589956 is 58366.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 3406589897 and 3406589906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8988175 + ... + 8988553.

Almost surely, 2^3406589956 is an apocalyptic number.

3406589956 is the 58366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406589956

3406589956 is an abundant number, since it is smaller than the sum of its proper divisors (4236172451).

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

3406589956 is a wasteful number, since it uses less digits than its factorization.

3406589956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The cubic root of 3406589956 is about 1504.6654673796.

The spelling of 3406589956 in words is "three billion, four hundred six million, five hundred eighty-nine thousand, nine hundred fifty-six".