3959424 has 96 divisors (see below), whose sum is σ = 13047840. Its totient is φ = 1128960.

The previous prime is 3959393. The next prime is 3959441. The reversal of 3959424 is 4249593.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3959424³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7819 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (135915).

Almost surely, 2^3959424 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 3959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523920).

3959424 is an abundant number, since it is smaller than the sum of its proper divisors (9088416).

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

3959424 is a wasteful number, since it uses less digits than its factorization.

3959424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3959424 is about 1989.8301435047. The cubic root of 3959424 is about 158.2015267484.

The spelling of 3959424 in words is "three million, nine hundred fifty-nine thousand, four hundred twenty-four".