3828102144 has 88 divisors (see below), whose sum is σ = 10238078688. Its totient is φ = 1271685120.

The previous prime is 3828102139. The next prime is 3828102169. The reversal of 3828102144 is 4412018283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971859 + ... + 975789.

Almost surely, 2^3828102144 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 3828102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119039344).

3828102144 is an abundant number, since it is smaller than the sum of its proper divisors (6409976544).

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

3828102144 is a wasteful number, since it uses less digits than its factorization.

3828102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3828102144 is about 61871.6586491747. The cubic root of 3828102144 is about 1564.3280731085.

The spelling of 3828102144 in words is "three billion, eight hundred twenty-eight million, one hundred two thousand, one hundred forty-four".