3747648 has 56 divisors (see below), whose sum is σ = 10058400. Its totient is φ = 1231360.

The previous prime is 3747637. The next prime is 3747649. The reversal of 3747648 is 8467473.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3747649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25078 + ... + 25226.

Almost surely, 2^3747648 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 3747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029200).

3747648 is an abundant number, since it is smaller than the sum of its proper divisors (6310752).

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

3747648 is a wasteful number, since it uses less digits than its factorization.

3747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 3747648 is about 1935.8842940631. The cubic root of 3747648 is about 155.3291375675.

The spelling of 3747648 in words is "three million, seven hundred forty-seven thousand, six hundred forty-eight".