3841041224832 has 512 divisors, whose sum is σ = 12698892288000. Its totient is φ = 1004505858048.

The previous prime is 3841041224777. The next prime is 3841041224843. The reversal of 3841041224832 is 2384221401483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202587769 + ... + 202606727.

It is an arithmetic number, because the mean of its divisors is an integer number (24802524000).

Almost surely, 2^{3841041224832} is an apocalyptic number.

3841041224832 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 3841041224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349446144000).

3841041224832 is an abundant number, since it is smaller than the sum of its proper divisors (8857851063168).

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

3841041224832 is a wasteful number, since it uses less digits than its factorization.

3841041224832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19148 (or 19136 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 3841041224832 in words is "three trillion, eight hundred forty-one billion, forty-one million, two hundred twenty-four thousand, eight hundred thirty-two".