3321114423000 has 768 divisors, whose sum is σ = 11955354278400. Its totient is φ = 760332160000.

The previous prime is 3321114422987. The next prime is 3321114423073. The reversal of 3321114423000 is 3244111233.

It is a happy number.

It is a super-2 number, since 2×3321114423000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2114012215 + ... + 2114013785.

It is an arithmetic number, because the mean of its divisors is an integer number (15566867550).

Almost surely, 2^{3321114423000} is an apocalyptic number.

3321114423000 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 3321114423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977677139200).

3321114423000 is an abundant number, since it is smaller than the sum of its proper divisors (8634239855400).

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

3321114423000 is a wasteful number, since it uses less digits than its factorization.

3321114423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3321114423000 its reverse (3244111233), we get a palindrome (3324358534233).

The spelling of 3321114423000 in words is "three trillion, three hundred twenty-one billion, one hundred fourteen million, four hundred twenty-three thousand".