3840742324224 has 1152 divisors, whose sum is σ = 13414361425920. Its totient is φ = 1087121129472.

The previous prime is 3840742324189. The next prime is 3840742324229. The reversal of 3840742324224 is 4224232470483.

3840742324224 is a `hidden beast` number, since 3 + 8 + 407 + 4 + 232 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 3840742324224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840742324229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5169235597 + ... + 5169236339.

It is an arithmetic number, because the mean of its divisors is an integer number (11644410960).

Almost surely, 2^{3840742324224} is an apocalyptic number.

3840742324224 is a gapful number since it is divisible by the number (34) 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 3840742324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707180712960).

3840742324224 is an abundant number, since it is smaller than the sum of its proper divisors (9573619101696).

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

3840742324224 is a wasteful number, since it uses less digits than its factorization.

3840742324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 3840742324224 in words is "three trillion, eight hundred forty billion, seven hundred forty-two million, three hundred twenty-four thousand, two hundred twenty-four".