3381947283141 has 192 divisors, whose sum is σ = 6094505007360. Its totient is φ = 1846368276480.

The previous prime is 3381947283133. The next prime is 3381947283149. The reversal of 3381947283141 is 1413827491833.

3381947283141 is a `hidden beast` number, since 3 + 3 + 81 + 9 + 472 + 83 + 14 + 1 = 666.

3381947283141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3381947283133) and next prime (3381947283149).

It is not a de Polignac number, because 3381947283141 - 2³ = 3381947283133 is a prime.

It is a super-2 number, since 2×3381947283141² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381947283149) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2607514605 + ... + 2607515901.

It is an arithmetic number, because the mean of its divisors is an integer number (31742213580).

Almost surely, 2^{3381947283141} is an apocalyptic number.

It is an amenable number.

3381947283141 is a deficient number, since it is larger than the sum of its proper divisors (2712557724219).

3381947283141 is a wasteful number, since it uses less digits than its factorization.

3381947283141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2308 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 3381947283141 in words is "three trillion, three hundred eighty-one billion, nine hundred forty-seven million, two hundred eighty-three thousand, one hundred forty-one".