3420222233010 has 256 divisors, whose sum is σ = 9655980503040. Its totient is φ = 767286051840.

The previous prime is 3420222232969. The next prime is 3420222233027. The reversal of 3420222233010 is 103322220243.

It is a Curzon 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 127 ways as a sum of consecutive naturals, for example, 23651947 + ... + 23796113.

It is an arithmetic number, because the mean of its divisors is an integer number (37718673840).

Almost surely, 2^{3420222233010} is an apocalyptic number.

3420222233010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420222233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827990251520).

3420222233010 is an abundant number, since it is smaller than the sum of its proper divisors (6235758270030).

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

3420222233010 is a wasteful number, since it uses less digits than its factorization.

3420222233010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144321.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3420222233010 its reverse (103322220243), we get a palindrome (3523544453253).

The spelling of 3420222233010 in words is "three trillion, four hundred twenty billion, two hundred twenty-two million, two hundred thirty-three thousand, ten".