3917408 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1718400.

The previous prime is 3917323. The next prime is 3917411. The reversal of 3917408 is 8047193.

3917408 is digitally balanced in base 2, 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10733 + ... + 11091.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^3917408 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 3917408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3917408 is an abundant number, since it is smaller than the sum of its proper divisors (4791712).

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

3917408 is a wasteful number, since it uses less digits than its factorization.

3917408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 3917408 is about 1979.2443002318. The cubic root of 3917408 is about 157.6399428078.

The spelling of 3917408 in words is "three million, nine hundred seventeen thousand, four hundred eight".