3844938240000 has 2080 divisors, whose sum is σ = 16765705756800. Its totient is φ = 858193920000.

The previous prime is 3844938239971. The next prime is 3844938240083. The reversal of 3844938240000 is 428394483.

3844938240000 is a `hidden beast` number, since 3 + 84 + 4 + 93 + 82 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9884159806 + ... + 9884160194.

It is an arithmetic number, because the mean of its divisors is an integer number (8060435460).

Almost surely, 2^{3844938240000} is an apocalyptic number.

3844938240000 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 3844938240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382852878400).

3844938240000 is an abundant number, since it is smaller than the sum of its proper divisors (12920767516800).

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

3844938240000 is a wasteful number, since it uses less digits than its factorization.

3844938240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3844938240000 in words is "three trillion, eight hundred forty-four billion, nine hundred thirty-eight million, two hundred forty thousand".