3841538216832 has 256 divisors, whose sum is σ = 11597791027200. Its totient is φ = 1251458740224.

The previous prime is 3841538216783. The next prime is 3841538216843. The reversal of 3841538216832 is 2386128351483.

3841538216832 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 538 + 21 + 6 + 83 + 2 = 666.

3841538216832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29341788 + ... + 29472420.

It is an arithmetic number, because the mean of its divisors is an integer number (45303871200).

Almost surely, 2^{3841538216832} is an apocalyptic number.

3841538216832 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 3841538216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798895513600).

3841538216832 is an abundant number, since it is smaller than the sum of its proper divisors (7756252810368).

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

3841538216832 is a wasteful number, since it uses less digits than its factorization.

3841538216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130850 (or 130832 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 3841538216832 in words is "three trillion, eight hundred forty-one billion, five hundred thirty-eight million, two hundred sixteen thousand, eight hundred thirty-two".