3406823648904 has 192 divisors, whose sum is σ = 9821601216000. Its totient is φ = 980885188608.

The previous prime is 3406823648801. The next prime is 3406823648939. The reversal of 3406823648904 is 4098463286043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11785897 + ... + 12071495.

It is an arithmetic number, because the mean of its divisors is an integer number (51154173000).

Almost surely, 2^{3406823648904} is an apocalyptic number.

3406823648904 is a gapful number since it is divisible by the number (34) 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 3406823648904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910800608000).

3406823648904 is an abundant number, since it is smaller than the sum of its proper divisors (6414777567096).

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

3406823648904 is a wasteful number, since it uses less digits than its factorization.

3406823648904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285824 (or 285807 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 57.

The spelling of 3406823648904 in words is "three trillion, four hundred six billion, eight hundred twenty-three million, six hundred forty-eight thousand, nine hundred four".