3361343126144 has 64 divisors (see below), whose sum is σ = 6919139546880. Its totient is φ = 1624879872000.

The previous prime is 3361343126093. The next prime is 3361343126159. The reversal of 3361343126144 is 4416213431633.

3361343126144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3361343126144² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3688919 + ... + 4508969.

It is an arithmetic number, because the mean of its divisors is an integer number (108111555420).

Almost surely, 2^{3361343126144} 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 3361343126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459569773440).

3361343126144 is an abundant number, since it is smaller than the sum of its proper divisors (3557796420736).

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

3361343126144 is a wasteful number, since it uses less digits than its factorization.

3361343126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821129 (or 821117 counting only the distinct ones).

The product of its digits is 373248, while the sum is 41.

Adding to 3361343126144 its reverse (4416213431633), we get a palindrome (7777556557777).

The spelling of 3361343126144 in words is "three trillion, three hundred sixty-one billion, three hundred forty-three million, one hundred twenty-six thousand, one hundred forty-four".