3434210680992 has 384 divisors, whose sum is σ = 11177841991680. Its totient is φ = 898990202880.

The previous prime is 3434210680969. The next prime is 3434210680997. The reversal of 3434210680992 is 2990860124343.

It is not an unprimeable number, because it can be changed into a prime (3434210680997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1835493817 + ... + 1835495687.

It is an arithmetic number, because the mean of its divisors is an integer number (29108963520).

Almost surely, 2^{3434210680992} is an apocalyptic number.

3434210680992 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 3434210680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588920995840).

3434210680992 is an abundant number, since it is smaller than the sum of its proper divisors (7743631310688).

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

3434210680992 is a wasteful number, since it uses less digits than its factorization.

3434210680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 3434210680992 in words is "three trillion, four hundred thirty-four billion, two hundred ten million, six hundred eighty thousand, nine hundred ninety-two".