3846866167872 has 1120 divisors, whose sum is σ = 14568966365184. Its totient is φ = 976640716800.

The previous prime is 3846866167853. The next prime is 3846866167883. The reversal of 3846866167872 is 2787616686483.

It is a happy number.

3846866167872 is a `hidden beast` number, since 38 + 468 + 6 + 6 + 1 + 67 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3846866167872.

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, 1440233097 + ... + 1440235767.

Almost surely, 2^{3846866167872} is an apocalyptic number.

3846866167872 is a gapful number since it is divisible by the number (32) 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 3846866167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284483182592).

3846866167872 is an abundant number, since it is smaller than the sum of its proper divisors (10722100197312).

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

3846866167872 is a wasteful number, since it uses less digits than its factorization.

3846866167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2810 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 3846866167872 in words is "three trillion, eight hundred forty-six billion, eight hundred sixty-six million, one hundred sixty-seven thousand, eight hundred seventy-two".