3872141600 has 36 divisors (see below), whose sum is σ = 9452867634. Its totient is φ = 1548856320.

The previous prime is 3872141599. The next prime is 3872141617. The reversal of 3872141600 is 61412783.

It can be written as a sum of positive squares in 3 ways, for example, as 2704416016 + 1167725584 = 52004^2 + 34172^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2419289 + ... + 2420888.

Almost surely, 2^3872141600 is an apocalyptic number.

It is an amenable number.

3872141600 is an abundant number, since it is smaller than the sum of its proper divisors (5580726034).

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

3872141600 is a wasteful number, since it uses less digits than its factorization.

3872141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840197 (or 4840184 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3872141600 is about 62226.5345331073. The cubic root of 3872141600 is about 1570.3040237771.

The spelling of 3872141600 in words is "three billion, eight hundred seventy-two million, one hundred forty-one thousand, six hundred".