3917648 has 60 divisors (see below), whose sum is σ = 9329760. Its totient is φ = 1584576.

The previous prime is 3917623. The next prime is 3917681. The reversal of 3917648 is 8467193.

3917648 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

3917648 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14765 + ... + 15027.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

Almost surely, 2^3917648 is an apocalyptic number.

3917648 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 3917648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664880).

3917648 is an abundant number, since it is smaller than the sum of its proper divisors (5412112).

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

3917648 is a wasteful number, since it uses less digits than its factorization.

3917648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 3917648 is about 1979.3049285039. The cubic root of 3917648 is about 157.6431620124.

The spelling of 3917648 in words is "three million, nine hundred seventeen thousand, six hundred forty-eight".