3842646912 has 384 divisors, whose sum is σ = 12762036000. Its totient is φ = 1131356160.

The previous prime is 3842646911. The next prime is 3842646917. The reversal of 3842646912 is 2196462483.

3842646912 is a `hidden beast` number, since 384 + 264 + 6 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842646911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43175764 + ... + 43175852.

Almost surely, 2^3842646912 is an apocalyptic number.

3842646912 is a gapful number since it is divisible by the number (32) 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 3842646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381018000).

3842646912 is an abundant number, since it is smaller than the sum of its proper divisors (8919389088).

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

3842646912 is a wasteful number, since it uses less digits than its factorization.

3842646912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 138 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3842646912 is about 61989.0870395750. The cubic root of 3842646912 is about 1566.3067762639.

The spelling of 3842646912 in words is "three billion, eight hundred forty-two million, six hundred forty-six thousand, nine hundred twelve".