3283963240 has 32 divisors (see below), whose sum is σ = 7391606760. Its totient is φ = 1313107200.

The previous prime is 3283963223. The next prime is 3283963247. The reversal of 3283963240 is 423693823.

It can be written as a sum of positive squares in 4 ways, for example, as 3281227524 + 2735716 = 57282^2 + 1654^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3283963193 and 3283963202.

It is not an unprimeable number, because it can be changed into a prime (3283963247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109030 + ... + 135850.

Almost surely, 2^3283963240 is an apocalyptic number.

It is an amenable number.

3283963240 is an abundant number, since it is smaller than the sum of its proper divisors (4107643520).

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

3283963240 is a wasteful number, since it uses less digits than its factorization.

3283963240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29893 (or 29889 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 3283963240 is about 57305.8743934686. The cubic root of 3283963240 is about 1486.3899572362.

The spelling of 3283963240 in words is "three billion, two hundred eighty-three million, nine hundred sixty-three thousand, two hundred forty".