3823148160 has 768 divisors, whose sum is σ = 15469009920. Its totient is φ = 895795200.

The previous prime is 3823148117. The next prime is 3823148177. The reversal of 3823148160 is 618413283.

It is a super-2 number, since 2×3823148160² = 29232923706622771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 62674530 + ... + 62674590.

It is an arithmetic number, because the mean of its divisors is an integer number (20141940).

Almost surely, 2^3823148160 is an apocalyptic number.

3823148160 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 3823148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734504960).

3823148160 is an abundant number, since it is smaller than the sum of its proper divisors (11645861760).

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

3823148160 is a wasteful number, since it uses less digits than its factorization.

3823148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3823148160 is about 61831.6113327156. The cubic root of 3823148160 is about 1563.6529777804.

The spelling of 3823148160 in words is "three billion, eight hundred twenty-three million, one hundred forty-eight thousand, one hundred sixty".