3905535040 has 112 divisors (see below), whose sum is σ = 10285171200. Its totient is φ = 1400647680.

The previous prime is 3905535019. The next prime is 3905535083. The reversal of 3905535040 is 405355093.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3905534987 and 3905535005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249361 + ... + 264559.

Almost surely, 2^3905535040 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 3905535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142585600).

3905535040 is an abundant number, since it is smaller than the sum of its proper divisors (6379636160).

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

3905535040 is a wasteful number, since it uses less digits than its factorization.

3905535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15290 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 3905535040 is about 62494.2800582581. The cubic root of 3905535040 is about 1574.8052219028.

It can be divided in two parts, 390553 and 5040, that added together give a palindrome (395593).

The spelling of 3905535040 in words is "three billion, nine hundred five million, five hundred thirty-five thousand, forty".