3875328000 has 468 divisors, whose sum is σ = 14468484108. Its totient is φ = 997785600.

The previous prime is 3875327969. The next prime is 3875328031. The reversal of 3875328000 is 8235783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3875327969) and next prime (3875328031).

It can be written as a sum of positive squares in 6 ways, for example, as 1167998976 + 2707329024 = 34176^2 + 52032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133631986 + ... + 133632014.

Almost surely, 2^3875328000 is an apocalyptic number.

3875328000 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 3875328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234242054).

3875328000 is an abundant number, since it is smaller than the sum of its proper divisors (10593156108).

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

3875328000 is an equidigital number, since it uses as much as digits as its factorization.

3875328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3875328000 is about 62252.1324935941. The cubic root of 3875328000 is about 1570.7346420573.

The spelling of 3875328000 in words is "three billion, eight hundred seventy-five million, three hundred twenty-eight thousand".