3687590482056 has 144 divisors (see below), whose sum is σ = 10899726888960. Its totient is φ = 1125708554880.

The previous prime is 3687590482031. The next prime is 3687590482099. The reversal of 3687590482056 is 6502840957863.

It is a happy number.

3687590482056 is a `hidden beast` number, since 3 + 68 + 7 + 5 + 90 + 482 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3687590481984 and 3687590482002.

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 35 ways as a sum of consecutive naturals, for example, 352201 + ... + 2738471.

It is an arithmetic number, because the mean of its divisors is an integer number (75692547840).

Almost surely, 2^{3687590482056} is an apocalyptic number.

3687590482056 is a gapful number since it is divisible by the number (36) 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 3687590482056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449863444480).

3687590482056 is an abundant number, since it is smaller than the sum of its proper divisors (7212136406904).

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

3687590482056 is a wasteful number, since it uses less digits than its factorization.

3687590482056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386436 (or 2386416 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3687590482056 in words is "three trillion, six hundred eighty-seven billion, five hundred ninety million, four hundred eighty-two thousand, fifty-six".