3894750720000 has 3120 divisors, whose sum is σ = 17883419473920. Its totient is φ = 796262400000.

The previous prime is 3894750719989. The next prime is 3894750720011. The reversal of 3894750720000 is 270574983.

3894750720000 is a `hidden beast` number, since 3 + 89 + 47 + 507 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3894750719989) and next prime (3894750720011).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94993919980 + ... + 94993920020.

It is an arithmetic number, because the mean of its divisors is an integer number (5731865216).

Almost surely, 2^{3894750720000} is an apocalyptic number.

3894750720000 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 3894750720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941709736960).

3894750720000 is an abundant number, since it is smaller than the sum of its proper divisors (13988668753920).

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

3894750720000 is a wasteful number, since it uses less digits than its factorization.

3894750720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 3894750720000 in words is "three trillion, eight hundred ninety-four billion, seven hundred fifty million, seven hundred twenty thousand".