3875212800 has 240 divisors, whose sum is σ = 14225183280. Its totient is φ = 1033297920.

The previous prime is 3875212763. The next prime is 3875212837. The reversal of 3875212800 is 82125783.

It is an interprime number because it is at equal distance from previous prime (3875212763) and next prime (3875212837).

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 339994 + ... + 351206.

It is an arithmetic number, because the mean of its divisors is an integer number (59271597).

Almost surely, 2^3875212800 is an apocalyptic number.

3875212800 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 3875212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112591640).

3875212800 is an abundant number, since it is smaller than the sum of its proper divisors (10349970480).

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

3875212800 is a wasteful number, since it uses less digits than its factorization.

3875212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3875212800 is about 62251.2072172099. The cubic root of 3875212800 is about 1570.7190777469.

The spelling of 3875212800 in words is "three billion, eight hundred seventy-five million, two hundred twelve thousand, eight hundred".