3832848100 has 81 divisors (see below), whose sum is σ = 8581920123. Its totient is φ = 1485840000.

The previous prime is 3832848079. The next prime is 3832848113. The reversal of 3832848100 is 18482383.

The square root of 3832848100 is 61910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1613307556 + 2219540544 = 40166^2 + 47112^2 .

It is a super-2 number, since 2×3832848100² = 29381449115347220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3832848100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25383025 + ... + 25383175.

Almost surely, 2^3832848100 is an apocalyptic number.

3832848100 is the 61910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3832848100

3832848100 is an abundant number, since it is smaller than the sum of its proper divisors (4749072023).

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

3832848100 is a wasteful number, since it uses less digits than its factorization.

3832848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The cubic root of 3832848100 is about 1564.9742737523.

Multiplying 3832848100 by its product of nonzero digits (36864), we get a square (141294112358400 = 11886720²).

The spelling of 3832848100 in words is "three billion, eight hundred thirty-two million, eight hundred forty-eight thousand, one hundred".