3846013433136 has 640 divisors, whose sum is σ = 13376477184000. Its totient is φ = 1056442383360.

The previous prime is 3846013433107. The next prime is 3846013433149. The reversal of 3846013433136 is 6313343106483.

3846013433136 is a `hidden beast` number, since 3 + 8 + 4 + 601 + 3 + 4 + 3 + 3 + 1 + 36 = 666.

It is a super-2 number, since 2×3846013433136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3846013433091 and 3846013433100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 721169926 + ... + 721175258.

It is an arithmetic number, because the mean of its divisors is an integer number (20900745600).

Almost surely, 2^{3846013433136} is an apocalyptic number.

3846013433136 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 3846013433136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688238592000).

3846013433136 is an abundant number, since it is smaller than the sum of its proper divisors (9530463750864).

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

3846013433136 is a wasteful number, since it uses less digits than its factorization.

3846013433136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3846013433136 in words is "three trillion, eight hundred forty-six billion, thirteen million, four hundred thirty-three thousand, one hundred thirty-six".