3846578412600 has 1152 divisors, whose sum is σ = 17500594176000. Its totient is φ = 732779136000.

The previous prime is 3846578412557. The next prime is 3846578412623. The reversal of 3846578412600 is 62148756483.

It is a happy number.

3846578412600 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 578 + 4 + 1 + 2 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81611841 + ... + 81658959.

It is an arithmetic number, because the mean of its divisors is an integer number (15191488000).

Almost surely, 2^{3846578412600} is an apocalyptic number.

3846578412600 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 3846578412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750297088000).

3846578412600 is an abundant number, since it is smaller than the sum of its proper divisors (13654015763400).

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

3846578412600 is a wasteful number, since it uses less digits than its factorization.

3846578412600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47209 (or 47197 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3846578412600 in words is "three trillion, eight hundred forty-six billion, five hundred seventy-eight million, four hundred twelve thousand, six hundred".