3741123568224 has 288 divisors, whose sum is σ = 11690389380096. Its totient is φ = 1044039198720.

The previous prime is 3741123568141. The next prime is 3741123568229. The reversal of 3741123568224 is 4228653211473.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741123568229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111190444 + ... + 111224084.

It is an arithmetic number, because the mean of its divisors is an integer number (40591629792).

Almost surely, 2^{3741123568224} 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 3741123568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845194690048).

3741123568224 is an abundant number, since it is smaller than the sum of its proper divisors (7949265811872).

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

3741123568224 is a wasteful number, since it uses less digits than its factorization.

3741123568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34218 (or 34203 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

Adding to 3741123568224 its reverse (4228653211473), we get a palindrome (7969776779697).

The spelling of 3741123568224 in words is "three trillion, seven hundred forty-one billion, one hundred twenty-three million, five hundred sixty-eight thousand, two hundred twenty-four".