3845123427600 has 2880 divisors, whose sum is σ = 18103392419840. Its totient is φ = 761873817600.

The previous prime is 3845123427571. The next prime is 3845123427619. The reversal of 3845123427600 is 67243215483.

3845123427600 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 1 + 2 + 34 + 2 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10145444211 + ... + 10145444589.

Almost surely, 2^{3845123427600} is an apocalyptic number.

3845123427600 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 3845123427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051696209920).

3845123427600 is an abundant number, since it is smaller than the sum of its proper divisors (14258268992240).

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

3845123427600 is a wasteful number, since it uses less digits than its factorization.

3845123427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3845123427600 in words is "three trillion, eight hundred forty-five billion, one hundred twenty-three million, four hundred twenty-seven thousand, six hundred".