3400011223000 has 256 divisors, whose sum is σ = 9322670972160. Its totient is φ = 1136272896000.

The previous prime is 3400011222991. The next prime is 3400011223027. The reversal of 3400011223000 is 3221100043.

It is a happy number.

3400011223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 366494362 + ... + 366503638.

It is an arithmetic number, because the mean of its divisors is an integer number (36416683485).

Almost surely, 2^{3400011223000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400011223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661335486080).

3400011223000 is an abundant number, since it is smaller than the sum of its proper divisors (5922659749160).

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

3400011223000 is a wasteful number, since it uses less digits than its factorization.

3400011223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3400011223000 its reverse (3221100043), we get a palindrome (3403232323043).

The spelling of 3400011223000 in words is "three trillion, four hundred billion, eleven million, two hundred twenty-three thousand".