3344342144010 has 384 divisors, whose sum is σ = 9739629609984. Its totient is φ = 732213780480.

The previous prime is 3344342143993. The next prime is 3344342144029. The reversal of 3344342144010 is 104412434433.

It is a super-2 number, since 2×3344342144010² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1907781294 + ... + 1907783046.

It is an arithmetic number, because the mean of its divisors is an integer number (25363618776).

Almost surely, 2^{3344342144010} is an apocalyptic number.

3344342144010 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 3344342144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869814804992).

3344342144010 is an abundant number, since it is smaller than the sum of its proper divisors (6395287465974).

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

3344342144010 is a wasteful number, since it uses less digits than its factorization.

3344342144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3344342144010 its reverse (104412434433), we get a palindrome (3448754578443).

The spelling of 3344342144010 in words is "three trillion, three hundred forty-four billion, three hundred forty-two million, one hundred forty-four thousand, ten".