3875485824000 has 1760 divisors, whose sum is σ = 16773728235264. Its totient is φ = 871509196800.

The previous prime is 3875485823929. The next prime is 3875485824011. The reversal of 3875485824000 is 4285845783.

3875485824000 is a `hidden beast` number, since 3 + 8 + 7 + 54 + 8 + 582 + 4 + 0 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4862591602 + ... + 4862592398.

Almost surely, 2^{3875485824000} is an apocalyptic number.

3875485824000 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 3875485824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386864117632).

3875485824000 is an abundant number, since it is smaller than the sum of its proper divisors (12898242411264).

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

3875485824000 is an equidigital number, since it uses as much as digits as its factorization.

3875485824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 3875485824000 in words is "three trillion, eight hundred seventy-five billion, four hundred eighty-five million, eight hundred twenty-four thousand".