3997952 has 72 divisors (see below), whose sum is σ = 9614976. Its totient is φ = 1622016.

The previous prime is 3997933. The next prime is 3997963. The reversal of 3997952 is 2597993.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41168 + ... + 41264.

Almost surely, 2^3997952 is an apocalyptic number.

3997952 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 3997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807488).

3997952 is an abundant number, since it is smaller than the sum of its proper divisors (5617024).

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

3997952 is an equidigital number, since it uses as much as digits as its factorization.

3997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 153090, while the sum is 44.

The square root of 3997952 is about 1999.4879344472. The cubic root of 3997952 is about 158.7130089272.

The spelling of 3997952 in words is "three million, nine hundred ninety-seven thousand, nine hundred fifty-two".