3840852965040 has 1440 divisors, whose sum is σ = 16675327294080. Its totient is φ = 801055899648.

The previous prime is 3840852965029. The next prime is 3840852965099. The reversal of 3840852965040 is 405692580483.

3840852965040 is a `hidden beast` number, since 3 + 8 + 40 + 8 + 5 + 2 + 96 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4633115346 + ... + 4633116174.

Almost surely, 2^{3840852965040} is an apocalyptic number.

3840852965040 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 3840852965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337663647040).

3840852965040 is an abundant number, since it is smaller than the sum of its proper divisors (12834474329040).

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

3840852965040 is an equidigital number, since it uses as much as digits as its factorization.

3840852965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3840852965040 in words is "three trillion, eight hundred forty billion, eight hundred fifty-two million, nine hundred sixty-five thousand, forty".