3384140241440 has 384 divisors, whose sum is σ = 9638092800000. Its totient is φ = 1121253719040.

The previous prime is 3384140241439. The next prime is 3384140241463. The reversal of 3384140241440 is 441420414833.

It is a super-2 number, since 2×3384140241440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3384140241394 and 3384140241403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2257597811 + ... + 2257599309.

It is an arithmetic number, because the mean of its divisors is an integer number (25099200000).

Almost surely, 2^{3384140241440} 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 3384140241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819046400000).

3384140241440 is an abundant number, since it is smaller than the sum of its proper divisors (6253952558560).

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

3384140241440 is a wasteful number, since it uses less digits than its factorization.

3384140241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 3384140241440 in words is "three trillion, three hundred eighty-four billion, one hundred forty million, two hundred forty-one thousand, four hundred forty".