3828749344 has 96 divisors (see below), whose sum is σ = 9036679680. Its totient is φ = 1562416128.

The previous prime is 3828749321. The next prime is 3828749417. The reversal of 3828749344 is 4439478283.

It is a junction number, because it is equal to n+sod(n) for n = 3828749291 and 3828749300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384622 + ... + 394450.

It is an arithmetic number, because the mean of its divisors is an integer number (94132080).

Almost surely, 2^3828749344 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 3828749344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518339840).

3828749344 is an abundant number, since it is smaller than the sum of its proper divisors (5207930336).

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

3828749344 is a wasteful number, since it uses less digits than its factorization.

3828749344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9922 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The square root of 3828749344 is about 61876.8886095608. Note that the first 3 decimals coincide. The cubic root of 3828749344 is about 1564.4162261097.

The spelling of 3828749344 in words is "three billion, eight hundred twenty-eight million, seven hundred forty-nine thousand, three hundred forty-four".