3828544704 has 224 divisors, whose sum is σ = 12071908800. Its totient is φ = 1200365568.

The previous prime is 3828544673. The next prime is 3828544747. The reversal of 3828544704 is 4074458283.

It is a happy number.

3828544704 is a `hidden beast` number, since 38 + 2 + 8 + 544 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3828544704.

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, 2378652 + ... + 2380260.

It is an arithmetic number, because the mean of its divisors is an integer number (53892450).

Almost surely, 2^3828544704 is an apocalyptic number.

3828544704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828544704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035954400).

3828544704 is an abundant number, since it is smaller than the sum of its proper divisors (8243364096).

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

3828544704 is an equidigital number, since it uses as much as digits as its factorization.

3828544704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 3828544704 is about 61875.2349813720. The cubic root of 3828544704 is about 1564.3883538368.

The spelling of 3828544704 in words is "three billion, eight hundred twenty-eight million, five hundred forty-four thousand, seven hundred four".