3849826514688 has 432 divisors, whose sum is σ = 13857446803200. Its totient is φ = 998619217920.

The previous prime is 3849826514663. The next prime is 3849826514771. The reversal of 3849826514688 is 8864156289483.

3849826514688 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 8 + 26 + 514 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136412643 + ... + 136440861.

Almost surely, 2^{3849826514688} 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 3849826514688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928723401600).

3849826514688 is an abundant number, since it is smaller than the sum of its proper divisors (10007620288512).

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

3849826514688 is a wasteful number, since it uses less digits than its factorization.

3849826514688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29028 (or 29011 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 3849826514688 in words is "three trillion, eight hundred forty-nine billion, eight hundred twenty-six million, five hundred fourteen thousand, six hundred eighty-eight".