3438105828381 has 48 divisors (see below), whose sum is σ = 5928583953600. Its totient is φ = 1963470178656.

The previous prime is 3438105828373. The next prime is 3438105828473. The reversal of 3438105828381 is 1838285018343.

3438105828381 is a `hidden beast` number, since 3 + 43 + 8 + 10 + 582 + 8 + 3 + 8 + 1 = 666.

3438105828381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3438105828381 - 2³ = 3438105828373 is a prime.

It is a super-2 number, since 2×3438105828381² (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 (3438105828341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472350 + ... + 3007328.

It is an arithmetic number, because the mean of its divisors is an integer number (123512165700).

Almost surely, 2^{3438105828381} is an apocalyptic number.

It is an amenable number.

3438105828381 is a deficient number, since it is larger than the sum of its proper divisors (2490478125219).

3438105828381 is a wasteful number, since it uses less digits than its factorization.

3438105828381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536695 (or 1536682 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3438105828381 in words is "three trillion, four hundred thirty-eight billion, one hundred five million, eight hundred twenty-eight thousand, three hundred eighty-one".