3852128483856 has 315 divisors, whose sum is σ = 11898222712311. Its totient is φ = 1207380390912.

The previous prime is 3852128483843. The next prime is 3852128483857. The reversal of 3852128483856 is 6583848212583.

The square root of 3852128483856 is 1962684.

It is a perfect power (a square), and thus also a powerful number.

3852128483856 is a `hidden beast` number, since 3 + 8 + 52 + 1 + 28 + 483 + 85 + 6 = 666.

3852128483856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 260406090000 + 3591722393856 = 510300^2 + 1895184^2 .

It is a super-2 number, since 2×3852128483856² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3852128483793 and 3852128483802.

It is not an unprimeable number, because it can be changed into a prime (3852128483857) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3603487290 + ... + 3603488358.

Almost surely, 2^{3852128483856} is an apocalyptic number.

3852128483856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3852128483856 is the 1962684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852128483856

3852128483856 is an abundant number, since it is smaller than the sum of its proper divisors (8046094228455).

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

3852128483856 is an frugal number, since it uses more digits than its factorization.

3852128483856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 1091 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 3852128483856 in words is "three trillion, eight hundred fifty-two billion, one hundred twenty-eight million, four hundred eighty-three thousand, eight hundred fifty-six".