3687884317440 has 864 divisors, whose sum is σ = 13721294426112. Its totient is φ = 912715776000.

The previous prime is 3687884317423. The next prime is 3687884317487. The reversal of 3687884317440 is 447134887863.

3687884317440 is a `hidden beast` number, since 3 + 6 + 87 + 8 + 84 + 31 + 7 + 440 = 666.

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 95 ways as a sum of consecutive naturals, for example, 938152275 + ... + 938156205.

It is an arithmetic number, because the mean of its divisors is an integer number (15881127808).

Almost surely, 2^{3687884317440} is an apocalyptic number.

3687884317440 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 3687884317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860647213056).

3687884317440 is an abundant number, since it is smaller than the sum of its proper divisors (10033410108672).

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

3687884317440 is a wasteful number, since it uses less digits than its factorization.

3687884317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 3687884317440 in words is "three trillion, six hundred eighty-seven billion, eight hundred eighty-four million, three hundred seventeen thousand, four hundred forty".