3955600 has 120 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1344000.

The previous prime is 3955597. The next prime is 3955603. The reversal of 3955600 is 65593.

It is a happy number.

3955600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3955597) and next prime (3955603).

It is not an unprimeable number, because it can be changed into a prime (3955603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127585 + ... + 127615.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

Almost surely, 2^3955600 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 3955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

3955600 is an abundant number, since it is smaller than the sum of its proper divisors (7115120).

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

3955600 is a wasteful number, since it uses less digits than its factorization.

3955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 3955600 is about 1988.8690253508. The cubic root of 3955600 is about 158.1505801545.

It can be divided in two parts, 395 and 5600, that added together give a palindrome (5995).

The spelling of 3955600 in words is "three million, nine hundred fifty-five thousand, six hundred".