3955968 has 108 divisors (see below), whose sum is σ = 12196548. Its totient is φ = 1228800.

The previous prime is 3955949. The next prime is 3955969. The reversal of 3955968 is 8695593.

3955968 is a `hidden beast` number, since 39 + 559 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 451584 = 1872^2 + 672^2 .

It is a super-3 number, since 3×3955968³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3955969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39118 + ... + 39218.

It is an arithmetic number, because the mean of its divisors is an integer number (112931).

Almost surely, 2^3955968 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 3955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098274).

3955968 is an abundant number, since it is smaller than the sum of its proper divisors (8240580).

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

3955968 is a wasteful number, since it uses less digits than its factorization.

3955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 3955968 is about 1988.9615380897. The cubic root of 3955968 is about 158.1554843922.

The spelling of 3955968 in words is "three million, nine hundred fifty-five thousand, nine hundred sixty-eight".