3382800435 has 32 divisors (see below), whose sum is σ = 6872993280. Its totient is φ = 1546422624.

The previous prime is 3382800409. The next prime is 3382800511. The reversal of 3382800435 is 5340082833.

3382800435 is a `hidden beast` number, since 338 + 280 + 0 + 43 + 5 = 666.

It is not a de Polignac number, because 3382800435 - 2⁹ = 3382799923 is a prime.

It is a super-2 number, since 2×3382800435² = 22886677566072378450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3382800435.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788897 + ... + 1790786.

It is an arithmetic number, because the mean of its divisors is an integer number (214781040).

Almost surely, 2^3382800435 is an apocalyptic number.

3382800435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3382800435 is an abundant number, since it is smaller than the sum of its proper divisors (3490192845).

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

3382800435 is a wasteful number, since it uses less digits than its factorization.

3382800435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579704 (or 3579698 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3382800435 is about 58161.8469015557. The cubic root of 3382800435 is about 1501.1547308364.

The spelling of 3382800435 in words is "three billion, three hundred eighty-two million, eight hundred thousand, four hundred thirty-five".