3875853421440 has 3584 divisors, whose sum is σ = 19185153039360. Its totient is φ = 722369249280.

The previous prime is 3875853421421. The next prime is 3875853421457. The reversal of 3875853421440 is 441243585783.

3875853421440 is a `hidden beast` number, since 3 + 8 + 7 + 58 + 534 + 2 + 14 + 40 = 666.

3875853421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 20082141984 + ... + 20082142176.

It is an arithmetic number, because the mean of its divisors is an integer number (5353000290).

Almost surely, 2^{3875853421440} is an apocalyptic number.

3875853421440 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 3875853421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592576519680).

3875853421440 is an abundant number, since it is smaller than the sum of its proper divisors (15309299617920).

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

3875853421440 is a wasteful number, since it uses less digits than its factorization.

3875853421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 3875853421440 in words is "three trillion, eight hundred seventy-five billion, eight hundred fifty-three million, four hundred twenty-one thousand, four hundred forty".