3854896128000 has 1344 divisors, whose sum is σ = 14595488354304. Its totient is φ = 977633280000.

The previous prime is 3854896127959. The next prime is 3854896128137. The reversal of 3854896128000 is 8216984583.

3854896128000 is a `hidden beast` number, since 3 + 8 + 548 + 9 + 6 + 12 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29426687935 + ... + 29426688065.

Almost surely, 2^{3854896128000} is an apocalyptic number.

3854896128000 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 3854896128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297744177152).

3854896128000 is an abundant number, since it is smaller than the sum of its proper divisors (10740592226304).

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

3854896128000 is a wasteful number, since it uses less digits than its factorization.

3854896128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3854896128000 in words is "three trillion, eight hundred fifty-four billion, eight hundred ninety-six million, one hundred twenty-eight thousand".