3871555200 has 288 divisors, whose sum is σ = 13910270400. Its totient is φ = 1025280000.

The previous prime is 3871555189. The next prime is 3871555211. The reversal of 3871555200 is 25551783.

3871555200 is a `hidden beast` number, since 3 + 87 + 1 + 55 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3871555189) and next prime (3871555211).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 5154825 + ... + 5155575.

It is an arithmetic number, because the mean of its divisors is an integer number (48299550).

Almost surely, 2^3871555200 is an apocalyptic number.

3871555200 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 3871555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955135200).

3871555200 is an abundant number, since it is smaller than the sum of its proper divisors (10038715200).

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

3871555200 is a wasteful number, since it uses less digits than its factorization.

3871555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 3871555200 is about 62221.8225383989. The cubic root of 3871555200 is about 1570.2247504393.

The spelling of 3871555200 in words is "three billion, eight hundred seventy-one million, five hundred fifty-five thousand, two hundred".