3340010034144 has 432 divisors, whose sum is σ = 11230114476672. Its totient is φ = 922203988992.

The previous prime is 3340010034107. The next prime is 3340010034173. The reversal of 3340010034144 is 4414300100433.

It is a super-2 number, since 2×3340010034144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 379412847 + ... + 379421649.

Almost surely, 2^{3340010034144} 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 3340010034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615057238336).

3340010034144 is an abundant number, since it is smaller than the sum of its proper divisors (7890104442528).

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

3340010034144 is a wasteful number, since it uses less digits than its factorization.

3340010034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8935 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3340010034144 its reverse (4414300100433), we get a palindrome (7754310134577).

The spelling of 3340010034144 in words is "three trillion, three hundred forty billion, ten million, thirty-four thousand, one hundred forty-four".