3847363968 has 192 divisors, whose sum is σ = 12055212720. Its totient is φ = 1083801600.

The previous prime is 3847363963. The next prime is 3847363987. The reversal of 3847363968 is 8693637483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847363963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372168 + ... + 1374968.

Almost surely, 2^3847363968 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 3847363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027606360).

3847363968 is an abundant number, since it is smaller than the sum of its proper divisors (8207848752).

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

3847363968 is a wasteful number, since it uses less digits than its factorization.

3847363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2886 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The square root of 3847363968 is about 62027.1228415441. The cubic root of 3847363968 is about 1566.9474228290.

The spelling of 3847363968 in words is "three billion, eight hundred forty-seven million, three hundred sixty-three thousand, nine hundred sixty-eight".