3205416040 has 16 divisors (see below), whose sum is σ = 7212186180. Its totient is φ = 1282166400.

The previous prime is 3205416031. The next prime is 3205416047. The reversal of 3205416040 is 406145023.

3205416040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3083136676 + 122279364 = 55526^2 + 11058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3205415996 and 3205416014.

It is not an unprimeable number, because it can be changed into a prime (3205416047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40067661 + ... + 40067740.

Almost surely, 2^3205416040 is an apocalyptic number.

It is an amenable number.

3205416040 is an abundant number, since it is smaller than the sum of its proper divisors (4006770140).

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

3205416040 is a wasteful number, since it uses less digits than its factorization.

3205416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80135412 (or 80135408 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3205416040 is about 56616.3937389163. The cubic root of 3205416040 is about 1474.4435001106.

The spelling of 3205416040 in words is "three billion, two hundred five million, four hundred sixteen thousand, forty".