3934583424 has 160 divisors (see below), whose sum is σ = 11774268000. Its totient is φ = 1304252928.

The previous prime is 3934583407. The next prime is 3934583431. The reversal of 3934583424 is 4243854393.

3934583424 is a `hidden beast` number, since 39 + 34 + 583 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3934583424.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2062279 + ... + 2064185.

It is an arithmetic number, because the mean of its divisors is an integer number (73589175).

Almost surely, 2^3934583424 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 3934583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887134000).

3934583424 is an abundant number, since it is smaller than the sum of its proper divisors (7839684576).

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

3934583424 is a wasteful number, since it uses less digits than its factorization.

3934583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2111 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3934583424 is about 62726.2578510786. The cubic root of 3934583424 is about 1578.6999164888.

The spelling of 3934583424 in words is "three billion, nine hundred thirty-four million, five hundred eighty-three thousand, four hundred twenty-four".