3871600128 has 240 divisors, whose sum is σ = 12909392496. Its totient is φ = 1103953920.

The previous prime is 3871600121. The next prime is 3871600133. The reversal of 3871600128 is 8210061783.

3871600128 is a `hidden beast` number, since 38 + 7 + 1 + 600 + 12 + 8 = 666.

It is a super-2 number, since 2×3871600128² = 29978575102259232768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3871600092 and 3871600101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871600121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859450 + ... + 863942.

Almost surely, 2^3871600128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3871600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454696248).

3871600128 is an abundant number, since it is smaller than the sum of its proper divisors (9037792368).

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

3871600128 is a wasteful number, since it uses less digits than its factorization.

3871600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3871600128 is about 62222.1835682420. The cubic root of 3871600128 is about 1570.2308243795.

The spelling of 3871600128 in words is "three billion, eight hundred seventy-one million, six hundred thousand, one hundred twenty-eight".