3871173002400 has 864 divisors, whose sum is σ = 15021546059520. Its totient is φ = 930327552000.

The previous prime is 3871173002399. The next prime is 3871173002401. The reversal of 3871173002400 is 42003711783.

3871173002400 is a `hidden beast` number, since 3 + 87 + 1 + 173 + 0 + 0 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3871173002399) and next prime (3871173002401).

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

It is not an unprimeable number, because it can be changed into a prime (3871173002401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8361064569 + ... + 8361065031.

It is an arithmetic number, because the mean of its divisors is an integer number (17386048680).

Almost surely, 2^{3871173002400} is an apocalyptic number.

3871173002400 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 3871173002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510773029760).

3871173002400 is an abundant number, since it is smaller than the sum of its proper divisors (11150373057120).

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

3871173002400 is a wasteful number, since it uses less digits than its factorization.

3871173002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 3871173002400 in words is "three trillion, eight hundred seventy-one billion, one hundred seventy-three million, two thousand, four hundred".