3823828992 has 136 divisors (see below), whose sum is σ = 11335020080. Its totient is φ = 1274019840.

The previous prime is 3823828969. The next prime is 3823829033. The reversal of 3823828992 is 2998283283.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 1768392 + ... + 1770552.

Almost surely, 2^3823828992 is an apocalyptic number.

3823828992 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 3823828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667510040).

3823828992 is an abundant number, since it is smaller than the sum of its proper divisors (7511191088).

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

3823828992 is an frugal number, since it uses more digits than its factorization.

3823828992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2166 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3823828992 is about 61837.1166210068. The cubic root of 3823828992 is about 1563.7457914994.

The spelling of 3823828992 in words is "three billion, eight hundred twenty-three million, eight hundred twenty-eight thousand, nine hundred ninety-two".