3997312 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 1699840.

The previous prime is 3997307. The next prime is 3997319. The reversal of 3997312 is 2137993.

3997312 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3997319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23853 + ... + 24019.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^3997312 is an apocalyptic number.

3997312 is a gapful number since it is divisible by the number (32) 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 3997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

3997312 is an abundant number, since it is smaller than the sum of its proper divisors (5256128).

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

3997312 is a wasteful number, since it uses less digits than its factorization.

3997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 10206, while the sum is 34.

The square root of 3997312 is about 1999.3278870661. The cubic root of 3997312 is about 158.7045394453.

The spelling of 3997312 in words is "three million, nine hundred ninety-seven thousand, three hundred twelve".