3861985248000 has 432 divisors, whose sum is σ = 15159884437152. Its totient is φ = 936238080000.

The previous prime is 3861985247969. The next prime is 3861985248019. The reversal of 3861985248000 is 8425891683.

3861985248000 is a `hidden beast` number, since 3 + 86 + 1 + 9 + 85 + 2 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2558470 + ... + 3777530.

It is an arithmetic number, because the mean of its divisors is an integer number (35092325086).

Almost surely, 2^{3861985248000} is an apocalyptic number.

3861985248000 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 3861985248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579942218576).

3861985248000 is an abundant number, since it is smaller than the sum of its proper divisors (11297899189152).

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

3861985248000 is a wasteful number, since it uses less digits than its factorization.

3861985248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219109 (or 1219082 counting only the distinct ones).

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

The spelling of 3861985248000 in words is "three trillion, eight hundred sixty-one billion, nine hundred eighty-five million, two hundred forty-eight thousand".