3997924 has 48 divisors (see below), whose sum is σ = 8733312. Its totient is φ = 1562112.

The previous prime is 3997921. The next prime is 3997927. The reversal of 3997924 is 4297993.

It is an interprime number because it is at equal distance from previous prime (3997921) and next prime (3997927).

It is not an unprimeable number, because it can be changed into a prime (3997921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17499 + ... + 17725.

It is an arithmetic number, because the mean of its divisors is an integer number (181944).

Almost surely, 2^3997924 is an apocalyptic number.

3997924 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 3997924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366656).

3997924 is an abundant number, since it is smaller than the sum of its proper divisors (4735388).

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

3997924 is a wasteful number, since it uses less digits than its factorization.

3997924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The square root of 3997924 is about 1999.4809326423. The cubic root of 3997924 is about 158.7126384063.

The spelling of 3997924 in words is "three million, nine hundred ninety-seven thousand, nine hundred twenty-four".