3181638240 has 144 divisors (see below), whose sum is σ = 11844430416. Its totient is φ = 771302400.

The previous prime is 3181638223. The next prime is 3181638263. The reversal of 3181638240 is 428361813.

3181638240 is a `hidden beast` number, since 3 + 18 + 1 + 638 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 3181638195 and 3181638204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84591 + ... + 116270.

It is an arithmetic number, because the mean of its divisors is an integer number (82252989).

Almost surely, 2^3181638240 is an apocalyptic number.

3181638240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3181638240 is an abundant number, since it is smaller than the sum of its proper divisors (8662792176).

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

3181638240 is a wasteful number, since it uses less digits than its factorization.

3181638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200893 (or 200882 counting only the distinct ones).

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

The square root of 3181638240 is about 56406.0124454831. The cubic root of 3181638240 is about 1470.7886369441.

The spelling of 3181638240 in words is "three billion, one hundred eighty-one million, six hundred thirty-eight thousand, two hundred forty".