3784105230336 has 512 divisors, whose sum is σ = 11638512691200. Its totient is φ = 1213857792000.

The previous prime is 3784105230317. The next prime is 3784105230391. The reversal of 3784105230336 is 6330325014873.

3784105230336 is a `hidden beast` number, since 3 + 7 + 84 + 1 + 0 + 5 + 230 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×3784105230336² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3784105230291 and 3784105230300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7706935051 + ... + 7706935541.

It is an arithmetic number, because the mean of its divisors is an integer number (22731470100).

Almost surely, 2^{3784105230336} is an apocalyptic number.

3784105230336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784105230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819256345600).

3784105230336 is an abundant number, since it is smaller than the sum of its proper divisors (7854407460864).

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

3784105230336 is an equidigital number, since it uses as much as digits as its factorization.

3784105230336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3784105230336 in words is "three trillion, seven hundred eighty-four billion, one hundred five million, two hundred thirty thousand, three hundred thirty-six".