3845833992000 has 4480 divisors, whose sum is σ = 19653630796800. Its totient is φ = 737662464000.

The previous prime is 3845833991947. The next prime is 3845833992001. The reversal of 3845833992000 is 2993385483.

It is a happy number.

3845833992000 is a `hidden beast` number, since 3 + 8 + 4 + 583 + 39 + 9 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845833992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 295833383994 + ... + 295833384006.

It is an arithmetic number, because the mean of its divisors is an integer number (4386971160).

Almost surely, 2^{3845833992000} is an apocalyptic number.

3845833992000 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 3845833992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9826815398400).

3845833992000 is an abundant number, since it is smaller than the sum of its proper divisors (15807796804800).

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

3845833992000 is an equidigital number, since it uses as much as digits as its factorization.

3845833992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3845833992000 in words is "three trillion, eight hundred forty-five billion, eight hundred thirty-three million, nine hundred ninety-two thousand".