3842341322880 has 256 divisors, whose sum is σ = 12519234547200. Its totient is φ = 1001926950912.

The previous prime is 3842341322867. The next prime is 3842341322881. The reversal of 3842341322880 is 882231432483.

It is a super-2 number, since 2×3842341322880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3842341322881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104028256 + ... + 104065184.

It is an arithmetic number, because the mean of its divisors is an integer number (48903259950).

Almost surely, 2^{3842341322880} is an apocalyptic number.

3842341322880 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 3842341322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259617273600).

3842341322880 is an abundant number, since it is smaller than the sum of its proper divisors (8676893224320).

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

3842341322880 is a wasteful number, since it uses less digits than its factorization.

3842341322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38151 (or 38139 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 3842341322880 in words is "three trillion, eight hundred forty-two billion, three hundred forty-one million, three hundred twenty-two thousand, eight hundred eighty".