3382833640 has 16 divisors (see below), whose sum is σ = 7611375780. Its totient is φ = 1353133440.

The previous prime is 3382833631. The next prime is 3382833647. The reversal of 3382833640 is 463382833.

3382833640 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 2870173476 + 512660164 = 53574^2 + 22642^2 .

It is a super-2 number, since 2×3382833640² = 22887126871831299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 84570841 = 3382833640 / (3 + 3 + 8 + 2 + 8 + 3 + 3 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 3382833593 and 3382833602.

It is not an unprimeable number, because it can be changed into a prime (3382833647) 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, 42285381 + ... + 42285460.

Almost surely, 2^3382833640 is an apocalyptic number.

It is an amenable number.

3382833640 is an abundant number, since it is smaller than the sum of its proper divisors (4228542140).

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

3382833640 is a wasteful number, since it uses less digits than its factorization.

3382833640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84570852 (or 84570848 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 3382833640 is about 58162.1323543076. The cubic root of 3382833640 is about 1501.1596425144.

The spelling of 3382833640 in words is "three billion, three hundred eighty-two million, eight hundred thirty-three thousand, six hundred forty".