3187384928 has 144 divisors (see below), whose sum is σ = 7903877184. Its totient is φ = 1254113280.

The previous prime is 3187384891. The next prime is 3187384931. The reversal of 3187384928 is 8294837813.

It is a self number, because there is not a number n which added to its sum of digits gives 3187384928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5523776 + ... + 5524352.

It is an arithmetic number, because the mean of its divisors is an integer number (54888036).

Almost surely, 2^3187384928 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 3187384928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951938592).

3187384928 is an abundant number, since it is smaller than the sum of its proper divisors (4716492256).

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

3187384928 is a wasteful number, since it uses less digits than its factorization.

3187384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 870 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 3187384928 is about 56456.9298492222. The cubic root of 3187384928 is about 1471.6736191552.

The spelling of 3187384928 in words is "three billion, one hundred eighty-seven million, three hundred eighty-four thousand, nine hundred twenty-eight".