3717648 has 60 divisors (see below), whose sum is σ = 11354928. Its totient is φ = 1126080.

The previous prime is 3717647. The next prime is 3717667. The reversal of 3717648 is 8467173.

3717648 is a `hidden beast` number, since 3 + 7 + 1 + 7 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3717641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 2757.

Almost surely, 2^3717648 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 3717648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677464).

3717648 is an abundant number, since it is smaller than the sum of its proper divisors (7637280).

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

3717648 is a wasteful number, since it uses less digits than its factorization.

3717648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2363 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 3717648 is about 1928.1203281953. The cubic root of 3717648 is about 154.9135556834.

The spelling of 3717648 in words is "three million, seven hundred seventeen thousand, six hundred forty-eight".