3828387720 has 128 divisors (see below), whose sum is σ = 12006973440. Its totient is φ = 974688000.

The previous prime is 3828387631. The next prime is 3828387721. The reversal of 3828387720 is 277838283.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3828387720.

It is not an unprimeable number, because it can be changed into a prime (3828387721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2071837 + ... + 2073683.

It is an arithmetic number, because the mean of its divisors is an integer number (93804480).

Almost surely, 2^3828387720 is an apocalyptic number.

3828387720 is a gapful number since it is divisible by the number (30) 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 3828387720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003486720).

3828387720 is an abundant number, since it is smaller than the sum of its proper divisors (8178585720).

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

3828387720 is a wasteful number, since it uses less digits than its factorization.

3828387720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3828387720 is about 61873.9664156097. The cubic root of 3828387720 is about 1564.3669717088.

The spelling of 3828387720 in words is "three billion, eight hundred twenty-eight million, three hundred eighty-seven thousand, seven hundred twenty".