3466823424000 has 384 divisors, whose sum is σ = 11547330762240. Its totient is φ = 923480064000.

The previous prime is 3466823423971. The next prime is 3466823424011. The reversal of 3466823424000 is 4243286643.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939262155 + ... + 939265845.

It is an arithmetic number, because the mean of its divisors is an integer number (30071173860).

Almost surely, 2^{3466823424000} is an apocalyptic number.

3466823424000 is a gapful number since it is divisible by the number (30) 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 3466823424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773665381120).

3466823424000 is an abundant number, since it is smaller than the sum of its proper divisors (8080507338240).

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

3466823424000 is a wasteful number, since it uses less digits than its factorization.

3466823424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 3466823424000 in words is "three trillion, four hundred sixty-six billion, eight hundred twenty-three million, four hundred twenty-four thousand".