3841218282624 has 256 divisors, whose sum is σ = 10854279244800. Its totient is φ = 1200205762560.

The previous prime is 3841218282619. The next prime is 3841218282631. The reversal of 3841218282624 is 4262828121483.

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

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, 266318677 + ... + 266333099.

It is an arithmetic number, because the mean of its divisors is an integer number (42399528300).

Almost surely, 2^{3841218282624} 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 3841218282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427139622400).

3841218282624 is an abundant number, since it is smaller than the sum of its proper divisors (7013060962176).

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

3841218282624 is a wasteful number, since it uses less digits than its factorization.

3841218282624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14843 (or 14831 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 3841218282624 in words is "three trillion, eight hundred forty-one billion, two hundred eighteen million, two hundred eighty-two thousand, six hundred twenty-four".