3404210434404 has 192 divisors, whose sum is σ = 9174524486400. Its totient is φ = 973134692352.

The previous prime is 3404210434399. The next prime is 3404210434411. The reversal of 3404210434404 is 4044340124043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100050907 + ... + 100084925.

It is an arithmetic number, because the mean of its divisors is an integer number (47783981700).

Almost surely, 2^{3404210434404} is an apocalyptic number.

3404210434404 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 3404210434404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587262243200).

3404210434404 is an abundant number, since it is smaller than the sum of its proper divisors (5770314051996).

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

3404210434404 is a wasteful number, since it uses less digits than its factorization.

3404210434404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34542 (or 34540 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 3404210434404 its reverse (4044340124043), we get a palindrome (7448550558447).

The spelling of 3404210434404 in words is "three trillion, four hundred four billion, two hundred ten million, four hundred thirty-four thousand, four hundred four".