3519828144 has 120 divisors (see below), whose sum is σ = 11393770752. Its totient is φ = 993525120.

The previous prime is 3519828139. The next prime is 3519828149. The reversal of 3519828144 is 4418289153.

It is an interprime number because it is at equal distance from previous prime (3519828139) and next prime (3519828149).

It is a self number, because there is not a number n which added to its sum of digits gives 3519828144.

It is not an unprimeable number, because it can be changed into a prime (3519828149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62629 + ... + 104699.

Almost surely, 2^3519828144 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 3519828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696885376).

3519828144 is an abundant number, since it is smaller than the sum of its proper divisors (7873942608).

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

3519828144 is a wasteful number, since it uses less digits than its factorization.

3519828144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42175 (or 42166 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 3519828144 is about 59328.1395629426. The cubic root of 3519828144 is about 1521.1562278335.

The spelling of 3519828144 in words is "three billion, five hundred nineteen million, eight hundred twenty-eight thousand, one hundred forty-four".