3947264 has 36 divisors (see below), whose sum is σ = 8351784. Its totient is φ = 1855488.

The previous prime is 3947233. The next prime is 3947297. The reversal of 3947264 is 4627493.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3899 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (231994).

Almost surely, 2^3947264 is an apocalyptic number.

3947264 is a gapful number since it is divisible by the number (34) 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 3947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175892).

3947264 is an abundant number, since it is smaller than the sum of its proper divisors (4404520).

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

3947264 is an equidigital number, since it uses as much as digits as its factorization.

3947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 3947264 is about 1986.7722567018. The cubic root of 3947264 is about 158.0394069308.

The spelling of 3947264 in words is "three million, nine hundred forty-seven thousand, two hundred sixty-four".