3334103033144 has 96 divisors (see below), whose sum is σ = 7181576337600. Its totient is φ = 1442235217920.

The previous prime is 3334103033113. The next prime is 3334103033227. The reversal of 3334103033144 is 4413303014333.

It is a super-2 number, since 2×3334103033144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3334103033144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6951314 + ... + 7415454.

It is an arithmetic number, because the mean of its divisors is an integer number (74808086850).

Almost surely, 2^{3334103033144} is an apocalyptic number.

3334103033144 is a gapful number since it is divisible by the number (34) 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 3334103033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590788168800).

3334103033144 is an abundant number, since it is smaller than the sum of its proper divisors (3847473304456).

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

3334103033144 is a wasteful number, since it uses less digits than its factorization.

3334103033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464433 (or 464412 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 3334103033144 its reverse (4413303014333), we get a palindrome (7747406047477).

The spelling of 3334103033144 in words is "three trillion, three hundred thirty-four billion, one hundred three million, thirty-three thousand, one hundred forty-four".