3874255056000 has 2048 divisors, whose sum is σ = 17355434803200. Its totient is φ = 830269440000.

The previous prime is 3874255055969. The next prime is 3874255056031. The reversal of 3874255056000 is 6505524783.

3874255056000 is a `hidden beast` number, since 3 + 8 + 7 + 42 + 550 + 56 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3874255055969) and next prime (3874255056031).

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 255 ways as a sum of consecutive naturals, for example, 3686255475 + ... + 3686256525.

It is an arithmetic number, because the mean of its divisors is an integer number (8474333400).

Almost surely, 2^{3874255056000} is an apocalyptic number.

3874255056000 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 3874255056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677717401600).

3874255056000 is an abundant number, since it is smaller than the sum of its proper divisors (13481179747200).

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

3874255056000 is a wasteful number, since it uses less digits than its factorization.

3874255056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 3874255056000 in words is "three trillion, eight hundred seventy-four billion, two hundred fifty-five million, fifty-six thousand".