3828748672 has 192 divisors, whose sum is σ = 9471006000. Its totient is φ = 1537062912.

The previous prime is 3828748669. The next prime is 3828748711. The reversal of 3828748672 is 2768478283.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 43019604 + ... + 43019692.

Almost surely, 2^3828748672 is an apocalyptic number.

3828748672 is a gapful number since it is divisible by the number (32) 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 3828748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735503000).

3828748672 is an abundant number, since it is smaller than the sum of its proper divisors (5642257328).

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

3828748672 is an frugal number, since it uses more digits than its factorization.

3828748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 117 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 55.

The square root of 3828748672 is about 61876.8831794233. The cubic root of 3828748672 is about 1564.4161345839.

The spelling of 3828748672 in words is "three billion, eight hundred twenty-eight million, seven hundred forty-eight thousand, six hundred seventy-two".