3828172144 has 80 divisors (see below), whose sum is σ = 8135550720. Its totient is φ = 1739888640.

The previous prime is 3828172111. The next prime is 3828172157. The reversal of 3828172144 is 4412718283.

It is a junction number, because it is equal to n+sod(n) for n = 3828172097 and 3828172106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528612 + ... + 535804.

It is an arithmetic number, because the mean of its divisors is an integer number (101694384).

Almost surely, 2^3828172144 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 3828172144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067775360).

3828172144 is an abundant number, since it is smaller than the sum of its proper divisors (4307378576).

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

3828172144 is a wasteful number, since it uses less digits than its factorization.

3828172144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 7292 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 3828172144 is about 61872.2243337024. The cubic root of 3828172144 is about 1564.3376080594.

The spelling of 3828172144 in words is "three billion, eight hundred twenty-eight million, one hundred seventy-two thousand, one hundred forty-four".