3406180512 has 144 divisors (see below), whose sum is σ = 10435158720. Its totient is φ = 970002432.

The previous prime is 3406180441. The next prime is 3406180577. The reversal of 3406180512 is 2150816043.

It is a self number, because there is not a number n which added to its sum of digits gives 3406180512.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1687728 + ... + 1689744.

It is an arithmetic number, because the mean of its divisors is an integer number (72466380).

Almost surely, 2^3406180512 is an apocalyptic number.

3406180512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406180512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217579360).

3406180512 is an abundant number, since it is smaller than the sum of its proper divisors (7028978208).

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

3406180512 is a wasteful number, since it uses less digits than its factorization.

3406180512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3406180512 is about 58362.4923388301. The cubic root of 3406180512 is about 1504.6051821736.

Adding to 3406180512 its reverse (2150816043), we get a palindrome (5556996555).

The spelling of 3406180512 in words is "three billion, four hundred six million, one hundred eighty thousand, five hundred twelve".