3915168 has 48 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1227776.

The previous prime is 3915167. The next prime is 3915169. The reversal of 3915168 is 8615193.

It is an interprime number because it is at equal distance from previous prime (3915167) and next prime (3915169).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3915168³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3915167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^3915168 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 3915168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3915168 is an abundant number, since it is smaller than the sum of its proper divisors (6971232).

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

3915168 is a wasteful number, since it uses less digits than its factorization.

3915168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2421 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 3915168 is about 1978.6783467759. The cubic root of 3915168 is about 157.6098905557.

The spelling of 3915168 in words is "three million, nine hundred fifteen thousand, one hundred sixty-eight".