3687648527628 has 144 divisors (see below), whose sum is σ = 10636929721600. Its totient is φ = 1067822870400.

The previous prime is 3687648527597. The next prime is 3687648527677. The reversal of 3687648527628 is 8267258467863.

3687648527628 is a `hidden beast` number, since 3 + 6 + 8 + 76 + 4 + 8 + 527 + 6 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30538 + ... + 2715921.

Almost surely, 2^{3687648527628} is an apocalyptic number.

3687648527628 is a gapful number since it is divisible by the number (38) 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 3687648527628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318464860800).

3687648527628 is an abundant number, since it is smaller than the sum of its proper divisors (6949281193972).

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

3687648527628 is a wasteful number, since it uses less digits than its factorization.

3687648527628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746652 (or 2746647 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 3687648527628 in words is "three trillion, six hundred eighty-seven billion, six hundred forty-eight million, five hundred twenty-seven thousand, six hundred twenty-eight".