3886751232000 has 3744 divisors, whose sum is σ = 18677002346496. Its totient is φ = 759103488000.

The previous prime is 3886751231989. The next prime is 3886751232011. The reversal of 3886751232000 is 2321576883.

3886751232000 is a `hidden beast` number, since 38 + 86 + 7 + 512 + 3 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3886751231989) and next prime (3886751232011).

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 125379071985 + ... + 125379072015.

It is an arithmetic number, because the mean of its divisors is an integer number (4988515584).

Almost surely, 2^{3886751232000} is an apocalyptic number.

3886751232000 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 3886751232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9338501173248).

3886751232000 is an abundant number, since it is smaller than the sum of its proper divisors (14790251114496).

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

3886751232000 is a wasteful number, since it uses less digits than its factorization.

3886751232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3886751232000 in words is "three trillion, eight hundred eighty-six billion, seven hundred fifty-one million, two hundred thirty-two thousand".