3875236344000 has 2520 divisors, whose sum is σ = 17367918137856. Its totient is φ = 850445568000.

The previous prime is 3875236343999. The next prime is 3875236344043. The reversal of 3875236344000 is 4436325783.

3875236344000 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 2 + 3 + 634 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 30513671937 + ... + 30513672063.

Almost surely, 2^{3875236344000} is an apocalyptic number.

3875236344000 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 3875236344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683959068928).

3875236344000 is an abundant number, since it is smaller than the sum of its proper divisors (13492681793856).

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

3875236344000 is a wasteful number, since it uses less digits than its factorization.

3875236344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3875236344000 in words is "three trillion, eight hundred seventy-five billion, two hundred thirty-six million, three hundred forty-four thousand".