3967488 has 160 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 1105920.

The previous prime is 3967487. The next prime is 3967489. The reversal of 3967488 is 8847693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3967487) and next prime (3967489).

It is a super-2 number, since 2×3967488² = 31481922060288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3967487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96748 + ... + 96788.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 2^3967488 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 3967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

3967488 is an abundant number, since it is smaller than the sum of its proper divisors (9781632).

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

3967488 is an equidigital number, since it uses as much as digits as its factorization.

3967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3967488 is about 1991.8554164397. The cubic root of 3967488 is about 158.3088548184.

The spelling of 3967488 in words is "three million, nine hundred sixty-seven thousand, four hundred eighty-eight".