3676827648 has 104 divisors (see below), whose sum is σ = 10558264528. Its totient is φ = 1131282432.

The previous prime is 3676827631. The next prime is 3676827683. The reversal of 3676827648 is 8467286763.

It is a tau number, because it is divible by the number of its divisors (104).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148236 + ... + 171252.

Almost surely, 2^3676827648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279132264).

3676827648 is an abundant number, since it is smaller than the sum of its proper divisors (6881436880).

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

3676827648 is a wasteful number, since it uses less digits than its factorization.

3676827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23057 (or 23035 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 3676827648 is about 60636.8505778458. The cubic root of 3676827648 is about 1543.4447608450. Note that the first 3 decimals are identical.

The spelling of 3676827648 in words is "three billion, six hundred seventy-six million, eight hundred twenty-seven thousand, six hundred forty-eight".