3839735664 has 100 divisors (see below), whose sum is σ = 11270104560. Its totient is φ = 1261854720.

The previous prime is 3839735659. The next prime is 3839735677. The reversal of 3839735664 is 4665379383.

3839735664 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 73 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3839735664.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 71152 + ... + 112880.

Almost surely, 2^3839735664 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 3839735664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635052280).

3839735664 is an abundant number, since it is smaller than the sum of its proper divisors (7430368896).

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

3839735664 is a wasteful number, since it uses less digits than its factorization.

3839735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41820 (or 41805 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3839735664 is about 61965.6006506836. The cubic root of 3839735664 is about 1565.9111236829.

The spelling of 3839735664 in words is "three billion, eight hundred thirty-nine million, seven hundred thirty-five thousand, six hundred sixty-four".