3875397839424 has 224 divisors, whose sum is σ = 11804296838400. Its totient is φ = 1245298360320.

The previous prime is 3875397839419. The next prime is 3875397839491. The reversal of 3875397839424 is 4249387935783.

3875397839424 is a `hidden beast` number, since 3 + 8 + 7 + 539 + 7 + 83 + 9 + 4 + 2 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 32061469 + ... + 32182115.

Almost surely, 2^{3875397839424} 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 3875397839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902148419200).

3875397839424 is an abundant number, since it is smaller than the sum of its proper divisors (7928898998976).

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

3875397839424 is a wasteful number, since it uses less digits than its factorization.

3875397839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121338 (or 121322 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 3875397839424 in words is "three trillion, eight hundred seventy-five billion, three hundred ninety-seven million, eight hundred thirty-nine thousand, four hundred twenty-four".