3422231400000 has 672 divisors, whose sum is σ = 12966124114944. Its totient is φ = 780307200000.

The previous prime is 3422231399941. The next prime is 3422231400011. The reversal of 3422231400000 is 41322243.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3422231400000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2398199287 + ... + 2398200713.

It is an arithmetic number, because the mean of its divisors is an integer number (19294827552).

Almost surely, 2^{3422231400000} is an apocalyptic number.

3422231400000 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 3422231400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483062057472).

3422231400000 is an abundant number, since it is smaller than the sum of its proper divisors (9543892714944).

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

3422231400000 is an equidigital number, since it uses as much as digits as its factorization.

3422231400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3422231400000 its reverse (41322243), we get a palindrome (3422272722243).

The spelling of 3422231400000 in words is "three trillion, four hundred twenty-two billion, two hundred thirty-one million, four hundred thousand".