3188006640 has 640 divisors, whose sum is σ = 13832448000. Its totient is φ = 670602240.

The previous prime is 3188006597. The next prime is 3188006641. The reversal of 3188006640 is 466008813.

It is a happy number.

3188006640 is a `hidden beast` number, since 3 + 1 + 8 + 8 + 0 + 0 + 6 + 640 = 666.

3188006640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3188006595 and 3188006604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3188006641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9631275 + ... + 9631605.

It is an arithmetic number, because the mean of its divisors is an integer number (21613200).

Almost surely, 2^3188006640 is an apocalyptic number.

3188006640 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 3188006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916224000).

3188006640 is an abundant number, since it is smaller than the sum of its proper divisors (10644441360).

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

3188006640 is a wasteful number, since it uses less digits than its factorization.

3188006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3188006640 is about 56462.4356541586. The cubic root of 3188006640 is about 1471.7692981823.

The spelling of 3188006640 in words is "three billion, one hundred eighty-eight million, six thousand, six hundred forty".