3823886880 has 288 divisors, whose sum is σ = 14764171968. Its totient is φ = 926899200.

The previous prime is 3823886863. The next prime is 3823886881. The reversal of 3823886880 is 886883283.

3823886880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3823886880² = 29244221742072268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3823886881) 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, 423210 + ... + 432150.

It is an arithmetic number, because the mean of its divisors is an integer number (51264486).

Almost surely, 2^3823886880 is an apocalyptic number.

3823886880 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 3823886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382085984).

3823886880 is an abundant number, since it is smaller than the sum of its proper divisors (10940285088).

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

3823886880 is a wasteful number, since it uses less digits than its factorization.

3823886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 3823886880 is about 61837.5846876315. The cubic root of 3823886880 is about 1563.7536825129.

The spelling of 3823886880 in words is "three billion, eight hundred twenty-three million, eight hundred eighty-six thousand, eight hundred eighty".