3917268 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1168992.

The previous prime is 3917267. The next prime is 3917281. The reversal of 3917268 is 8627193.

3917268 is a `hidden beast` number, since 391 + 7 + 268 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3917261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47155 + ... + 47237.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 2^3917268 is an apocalyptic number.

3917268 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 3917268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3917268 is an abundant number, since it is smaller than the sum of its proper divisors (7372332).

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

3917268 is a wasteful number, since it uses less digits than its factorization.

3917268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3917268 is about 1979.2089328820. The cubic root of 3917268 is about 157.6380648777.

The spelling of 3917268 in words is "three million, nine hundred seventeen thousand, two hundred sixty-eight".