3875623988544 has 336 divisors, whose sum is σ = 13881957747840. Its totient is φ = 1004325765120.

The previous prime is 3875623988539. The next prime is 3875623988563. The reversal of 3875623988544 is 4458893265783.

3875623988544 is a `hidden beast` number, since 3 + 8 + 7 + 56 + 23 + 9 + 8 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3875623988544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19103512 + ... + 19305320.

It is an arithmetic number, because the mean of its divisors is an integer number (41315350440).

Almost surely, 2^{3875623988544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875623988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940978873920).

3875623988544 is an abundant number, since it is smaller than the sum of its proper divisors (10006333759296).

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

3875623988544 is a wasteful number, since it uses less digits than its factorization.

3875623988544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202278 (or 202265 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 3875623988544 in words is "three trillion, eight hundred seventy-five billion, six hundred twenty-three million, nine hundred eighty-eight thousand, five hundred forty-four".