3996200 has 96 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 1397760.

The previous prime is 3996199. The next prime is 3996211. The reversal of 3996200 is 26993.

It can be written as a sum of positive squares in 12 ways, for example, as 131044 + 3865156 = 362^2 + 1966^2 .

It is a super-2 number, since 2×3996200² = 31939228880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75374 + ... + 75426.

Almost surely, 2^3996200 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 3996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273100).

3996200 is an abundant number, since it is smaller than the sum of its proper divisors (6550000).

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

3996200 is a wasteful number, since it uses less digits than its factorization.

3996200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 3996200 is about 1999.0497742678. The cubic root of 3996200 is about 158.6898215703.

The spelling of 3996200 in words is "three million, nine hundred ninety-six thousand, two hundred".