3852871680 has 768 divisors, whose sum is σ = 15850598400. Its totient is φ = 778567680.

The previous prime is 3852871637. The next prime is 3852871697. The reversal of 3852871680 is 861782583.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 93972460 + ... + 93972500.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^3852871680 is an apocalyptic number.

3852871680 is a gapful number since it is divisible by the number (30) 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 3852871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3852871680 is an abundant number, since it is smaller than the sum of its proper divisors (11997726720).

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

3852871680 is a wasteful number, since it uses less digits than its factorization.

3852871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 3852871680 is about 62071.5045733548. The cubic root of 3852871680 is about 1567.6947899633.

The spelling of 3852871680 in words is "three billion, eight hundred fifty-two million, eight hundred seventy-one thousand, six hundred eighty".