3849713514864 has 360 divisors, whose sum is σ = 13003882364928. Its totient is φ = 1099338065280.

The previous prime is 3849713514863. The next prime is 3849713514869. The reversal of 3849713514864 is 4684153179483.

3849713514864 is a `hidden beast` number, since 3 + 8 + 4 + 97 + 13 + 51 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3849713514863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469989009 + ... + 469997199.

Almost surely, 2^{3849713514864} 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 3849713514864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501941182464).

3849713514864 is an abundant number, since it is smaller than the sum of its proper divisors (9154168850064).

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

3849713514864 is a wasteful number, since it uses less digits than its factorization.

3849713514864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10670 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 3849713514864 in words is "three trillion, eight hundred forty-nine billion, seven hundred thirteen million, five hundred fourteen thousand, eight hundred sixty-four".