3847211781120 has 1056 divisors, whose sum is σ = 14952830750208. Its totient is φ = 909522763776.

The previous prime is 3847211781109. The next prime is 3847211781121. The reversal of 3847211781120 is 211871127483.

It is a happy number.

3847211781120 is a `hidden beast` number, since 3 + 8 + 472 + 1 + 178 + 1 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3847211781121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207156167 + ... + 1207159353.

Almost surely, 2^{3847211781120} is an apocalyptic number.

3847211781120 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 3847211781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476415375104).

3847211781120 is an abundant number, since it is smaller than the sum of its proper divisors (11105618969088).

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

3847211781120 is a wasteful number, since it uses less digits than its factorization.

3847211781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 3847211781120 in words is "three trillion, eight hundred forty-seven billion, two hundred eleven million, seven hundred eighty-one thousand, one hundred twenty".