3828127600 has 240 divisors, whose sum is σ = 10932336000. Its totient is φ = 1272499200.

The previous prime is 3828127549. The next prime is 3828127607. The reversal of 3828127600 is 67218283.

It is a self number, because there is not a number n which added to its sum of digits gives 3828127600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828127607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2423611 + ... + 2425189.

It is an arithmetic number, because the mean of its divisors is an integer number (45551400).

Almost surely, 2^3828127600 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 3828127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466168000).

3828127600 is an abundant number, since it is smaller than the sum of its proper divisors (7104208400).

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

3828127600 is a wasteful number, since it uses less digits than its factorization.

3828127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 3828127600 is about 61871.8643649923. The cubic root of 3828127600 is about 1564.3315405750.

The spelling of 3828127600 in words is "three billion, eight hundred twenty-eight million, one hundred twenty-seven thousand, six hundred".