3847895416800 has 216 divisors, whose sum is σ = 13577274514440. Its totient is φ = 1025452569600.

The previous prime is 3847895416789. The next prime is 3847895416823. The reversal of 3847895416800 is 86145987483.

3847895416800 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 8 + 9 + 541 + 6 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11199570 + ... + 11538030.

Almost surely, 2^{3847895416800} is an apocalyptic number.

3847895416800 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 3847895416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788637257220).

3847895416800 is an abundant number, since it is smaller than the sum of its proper divisors (9729379097640).

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

3847895416800 is a wasteful number, since it uses less digits than its factorization.

3847895416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340066 (or 340050 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3847895416800 in words is "three trillion, eight hundred forty-seven billion, eight hundred ninety-five million, four hundred sixteen thousand, eight hundred".