3828743424 has 288 divisors, whose sum is σ = 12694711680. Its totient is φ = 1128038400.

The previous prime is 3828743393. The next prime is 3828743431. The reversal of 3828743424 is 4243478283.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3828743424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812504 + ... + 2813864.

It is an arithmetic number, because the mean of its divisors is an integer number (44078860).

Almost surely, 2^3828743424 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 3828743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347355840).

3828743424 is an abundant number, since it is smaller than the sum of its proper divisors (8865968256).

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

3828743424 is a wasteful number, since it uses less digits than its factorization.

3828743424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1414 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 3828743424 is about 61876.8407726186. The cubic root of 3828743424 is about 1564.4154198108.

The spelling of 3828743424 in words is "three billion, eight hundred twenty-eight million, seven hundred forty-three thousand, four hundred twenty-four".