3953368 has 32 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 1810080.

The previous prime is 3953353. The next prime is 3953393. The reversal of 3953368 is 8633593.

3953368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3953368³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4293 + ... + 5131.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^3953368 is an apocalyptic number.

3953368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3953368 is an abundant number, since it is smaller than the sum of its proper divisors (4110632).

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

3953368 is a wasteful number, since it uses less digits than its factorization.

3953368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 3953368 is about 1988.3078232507. The cubic root of 3953368 is about 158.1208283672.

It can be divided in two parts, 39533 and 68, that added together give a square (39601 = 199²).

The spelling of 3953368 in words is "three million, nine hundred fifty-three thousand, three hundred sixty-eight".