3841163424 has 192 divisors, whose sum is σ = 13478169600. Its totient is φ = 1039682304.

The previous prime is 3841163411. The next prime is 3841163429. The reversal of 3841163424 is 4243611483.

3841163424 is a `hidden beast` number, since 3 + 8 + 4 + 11 + 634 + 2 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (3841163429) 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, 98199 + ... + 131625.

It is an arithmetic number, because the mean of its divisors is an integer number (70198800).

Almost surely, 2^3841163424 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 3841163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739084800).

3841163424 is an abundant number, since it is smaller than the sum of its proper divisors (9637006176).

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

3841163424 is a wasteful number, since it uses less digits than its factorization.

3841163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33472 (or 33458 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3841163424 is about 61977.1201654288. The cubic root of 3841163424 is about 1566.1051881018.

The spelling of 3841163424 in words is "three billion, eight hundred forty-one million, one hundred sixty-three thousand, four hundred twenty-four".