3843793657242 has 768 divisors, whose sum is σ = 11448660787200. Its totient is φ = 937645632000.

The previous prime is 3843793657219. The next prime is 3843793657283. The reversal of 3843793657242 is 2427563973483.

3843793657242 is a `hidden beast` number, since 3 + 8 + 437 + 93 + 6 + 5 + 72 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3843793657242.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6091590267 + ... + 6091590897.

It is an arithmetic number, because the mean of its divisors is an integer number (14907110400).

Almost surely, 2^{3843793657242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3843793657242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724330393600).

3843793657242 is an abundant number, since it is smaller than the sum of its proper divisors (7604867129958).

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

3843793657242 is a wasteful number, since it uses less digits than its factorization.

3843793657242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 833 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 3843793657242 in words is "three trillion, eight hundred forty-three billion, seven hundred ninety-three million, six hundred fifty-seven thousand, two hundred forty-two".