3845385964800 has 1296 divisors, whose sum is σ = 15507921304512. Its totient is φ = 938793369600.

The previous prime is 3845385964787. The next prime is 3845385964843. The reversal of 3845385964800 is 84695835483.

It is a happy number.

3845385964800 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 38 + 596 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 978218835 + ... + 978222765.

Almost surely, 2^{3845385964800} is an apocalyptic number.

3845385964800 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 3845385964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753960652256).

3845385964800 is an abundant number, since it is smaller than the sum of its proper divisors (11662535339712).

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

3845385964800 is a wasteful number, since it uses less digits than its factorization.

3845385964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 3845385964800 in words is "three trillion, eight hundred forty-five billion, three hundred eighty-five million, nine hundred sixty-four thousand, eight hundred".