3354223440000 has 320 divisors, whose sum is σ = 11178063499680. Its totient is φ = 890880000000.

The previous prime is 3354223439947. The next prime is 3354223440013. The reversal of 3354223440000 is 443224533.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3354223440000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3354223440000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60212160 + ... + 60267840.

Almost surely, 2^{3354223440000} is an apocalyptic number.

3354223440000 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 3354223440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589031749840).

3354223440000 is an abundant number, since it is smaller than the sum of its proper divisors (7823840059680).

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

3354223440000 is an equidigital number, since it uses as much as digits as its factorization.

3354223440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55969 (or 55942 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 3354223440000 its reverse (443224533), we get a palindrome (3354666664533).

The spelling of 3354223440000 in words is "three trillion, three hundred fifty-four billion, two hundred twenty-three million, four hundred forty thousand".