3887148800 has 108 divisors (see below), whose sum is σ = 9648689736. Its totient is φ = 1550438400.

The previous prime is 3887148799. The next prime is 3887148829. The reversal of 3887148800 is 88417883.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3141782 + ... + 3143018.

Almost surely, 2^3887148800 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 3887148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824344868).

3887148800 is an abundant number, since it is smaller than the sum of its proper divisors (5761540936).

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

3887148800 is a wasteful number, since it uses less digits than its factorization.

3887148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 3887148800 is about 62347.0031356761. The cubic root of 3887148800 is about 1572.3300763459.

The spelling of 3887148800 in words is "three billion, eight hundred eighty-seven million, one hundred forty-eight thousand, eight hundred".