3661503648 has 96 divisors (see below), whose sum is σ = 10562166720. Its totient is φ = 1101404160.

The previous prime is 3661503641. The next prime is 3661503679. The reversal of 3661503648 is 8463051663.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3661503641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132018 + ... + 157326.

It is an arithmetic number, because the mean of its divisors is an integer number (110022570).

Almost surely, 2^3661503648 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 3661503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281083360).

3661503648 is an abundant number, since it is smaller than the sum of its proper divisors (6900663072).

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

3661503648 is a wasteful number, since it uses less digits than its factorization.

3661503648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25470 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3661503648 is about 60510.3598402786. The cubic root of 3661503648 is about 1541.2975582333.

The spelling of 3661503648 in words is "three billion, six hundred sixty-one million, five hundred three thousand, six hundred forty-eight".