3768261196224 has 224 divisors, whose sum is σ = 11744056751616. Its totient is φ = 1043939819520.

The previous prime is 3768261196177. The next prime is 3768261196229. The reversal of 3768261196224 is 4226911628673.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768261196229) 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, 8772184 + ... + 9191720.

It is an arithmetic number, because the mean of its divisors is an integer number (52428824784).

Almost surely, 2^{3768261196224} 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 3768261196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872028375808).

3768261196224 is an abundant number, since it is smaller than the sum of its proper divisors (7975795555392).

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

3768261196224 is a wasteful number, since it uses less digits than its factorization.

3768261196224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419763 (or 419753 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 3768261196224 in words is "three trillion, seven hundred sixty-eight billion, two hundred sixty-one million, one hundred ninety-six thousand, two hundred twenty-four".