3875788800 has 432 divisors, whose sum is σ = 14971385520. Its totient is φ = 952565760.

The previous prime is 3875788783. The next prime is 3875788801. The reversal of 3875788800 is 88875783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3875788801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5990077 + ... + 5990723.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985).

Almost surely, 2^3875788800 is an apocalyptic number.

3875788800 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 3875788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485692760).

3875788800 is an abundant number, since it is smaller than the sum of its proper divisors (11095596720).

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

3875788800 is a wasteful number, since it uses less digits than its factorization.

3875788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 3875788800 is about 62255.8334616123. The cubic root of 3875788800 is about 1570.7968962147.

The spelling of 3875788800 in words is "three billion, eight hundred seventy-five million, seven hundred eighty-eight thousand, eight hundred".