3905424000 has 384 divisors, whose sum is σ = 14424068880. Its totient is φ = 1011916800.

The previous prime is 3905423987. The next prime is 3905424011. The reversal of 3905424000 is 4245093.

It can be written as a sum of positive squares in 8 ways, for example, as 1721918016 + 2183505984 = 41496^2 + 46728^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5327634 + ... + 5328366.

Almost surely, 2^3905424000 is an apocalyptic number.

3905424000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212034440).

3905424000 is an abundant number, since it is smaller than the sum of its proper divisors (10518644880).

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

3905424000 is a wasteful number, since it uses less digits than its factorization.

3905424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3905424000 is about 62493.3916506377. The cubic root of 3905424000 is about 1574.7902970993.

Adding to 3905424000 its reverse (4245093), we get a palindrome (3909669093).

The spelling of 3905424000 in words is "three billion, nine hundred five million, four hundred twenty-four thousand".